Carlson, James A. 1946
Overview
Works:  29 works in 122 publications in 1 language and 1,757 library holdings 

Genres:  Conference papers and proceedings Criticism, interpretation, etc Controversial literature 
Roles:  Author, Editor, Other 
Publication Timeline
.
Most widely held works by
James A Carlson
Complex geometry and Lie theory by Symposium on Complex Geometry and Lie Theory(
Book
)
15 editions published between 1991 and 2012 in English and held by 371 WorldCat member libraries worldwide
This book gives a treatment of exterior differential systems including both the general theory and various applications. Topics include: a review of exterior algebra, simple exterior differential systems, the generation of integral manifolds through the solution of a succession of initial value problems, involution, linear differential systems, tableau and torsion, the characteristic variety of a differential system, prolongation, the Algebra of a linear Pfaffian system, and an introduction to Spencer Theory. Much emphasis is placed on the general theory while many examples are given
15 editions published between 1991 and 2012 in English and held by 371 WorldCat member libraries worldwide
This book gives a treatment of exterior differential systems including both the general theory and various applications. Topics include: a review of exterior algebra, simple exterior differential systems, the generation of integral manifolds through the solution of a succession of initial value problems, involution, linear differential systems, tableau and torsion, the characteristic variety of a differential system, prolongation, the Algebra of a linear Pfaffian system, and an introduction to Spencer Theory. Much emphasis is placed on the general theory while many examples are given
The Millennium prize problems(
Book
)
10 editions published in 2006 in English and held by 325 WorldCat member libraries worldwide
"Guided by the premise that solving some of the world's most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work takes the unprecedented approach of describing these important and difficult problems at the professional level. In announcing the seven problems and a US$7 million prize fund in 2000, the Clay Mathematics Institute emphasized that mathematics still constitutes an open frontier with important unsolved problems. The descriptions in this book serve the Institute's mission to "further the beauty, power and universality of mathematical thinking." Separate chapters are devoted to each of the seven problems: the Birch and SwinnertonDyer Conjecture, the Hodge Conjecture, the NavierStokes Equation, the P versus NP Problem, the Poincaré Conjecture, the Riemann Hypothesis, and Quantum YangMills Theory"Publisher's website
10 editions published in 2006 in English and held by 325 WorldCat member libraries worldwide
"Guided by the premise that solving some of the world's most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work takes the unprecedented approach of describing these important and difficult problems at the professional level. In announcing the seven problems and a US$7 million prize fund in 2000, the Clay Mathematics Institute emphasized that mathematics still constitutes an open frontier with important unsolved problems. The descriptions in this book serve the Institute's mission to "further the beauty, power and universality of mathematical thinking." Separate chapters are devoted to each of the seven problems: the Birch and SwinnertonDyer Conjecture, the Hodge Conjecture, the NavierStokes Equation, the P versus NP Problem, the Poincaré Conjecture, the Riemann Hypothesis, and Quantum YangMills Theory"Publisher's website
Period mappings and period domains by
James A Carlson(
Book
)
15 editions published between 2003 and 2018 in English and held by 240 WorldCat member libraries worldwide
The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the complex structure of a twotorus varies, thereby showing that certain families contain all elliptic curves. Generalizing to higher dimensions resulted in the formulation of the celebrated Hodge conjecture, and in an attempt to solve this, Griffiths generalized the classical notion of period matrix and introduced period maps and period domains which reflect how the complex structure for higher dimensional varieties varies. The basic theory as developed by Griffiths is explained in the first part of the book. Then, in the second part spectral sequences and Koszul complexes are introduced and are used to derive results about cycles on higher dimensional algebraic varieties such as the NoetherLefschetz theorem and Nori's theorem. Finally, in the third part differential geometric methods are explained leading up to proofs of Arakelovtype theorems, the theorem of the fixed part, the rigidity theorem, and more. Higgs bundles and relations to harmonic maps are discussed, and this leads to striking results such as the fact that compact quotients of certain period domains can never admit a Kahler metric or that certain lattices in classical Lie groups can't occur as the fundamental group of a Kahler manifold
15 editions published between 2003 and 2018 in English and held by 240 WorldCat member libraries worldwide
The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the complex structure of a twotorus varies, thereby showing that certain families contain all elliptic curves. Generalizing to higher dimensions resulted in the formulation of the celebrated Hodge conjecture, and in an attempt to solve this, Griffiths generalized the classical notion of period matrix and introduced period maps and period domains which reflect how the complex structure for higher dimensional varieties varies. The basic theory as developed by Griffiths is explained in the first part of the book. Then, in the second part spectral sequences and Koszul complexes are introduced and are used to derive results about cycles on higher dimensional algebraic varieties such as the NoetherLefschetz theorem and Nori's theorem. Finally, in the third part differential geometric methods are explained leading up to proofs of Arakelovtype theorems, the theorem of the fixed part, the rigidity theorem, and more. Higgs bundles and relations to harmonic maps are discussed, and this leads to striking results such as the fact that compact quotients of certain period domains can never admit a Kahler metric or that certain lattices in classical Lie groups can't occur as the fundamental group of a Kahler manifold
Symposium in honor of C.H. Clemens : a weekend of algebraic geometry in celebration of Herb Clemens's 60th birthday, University
of Utah, Salt Lake City, March 1012, 2000 by Weekend of algebraic geometry(
Book
)
11 editions published between 2002 and 2012 in English and held by 239 WorldCat member libraries worldwide
11 editions published between 2002 and 2012 in English and held by 239 WorldCat member libraries worldwide
The moduli space of cubic threefolds as a ball quotient by
Daniel Allcock(
Book
)
13 editions published between 2010 and 2011 in English and held by 219 WorldCat member libraries worldwide
13 editions published between 2010 and 2011 in English and held by 219 WorldCat member libraries worldwide
The Poincaré conjecture : Clay Research Conference, resolution of the Poincaré conjecture, Institut Henri Poincaré, Paris,
France, June 89, 2010 by Clay Research Conference Resolution of the Poincaré Conjecture(
Book
)
9 editions published in 2014 in English and held by 146 WorldCat member libraries worldwide
Geometry in 2, 3 and 4 dimensions / Michael Atiyah  Years of topology : work stimulated by poincare's approach to classifying manifolds / John Morgan  The evolution of geometric structures on 3manifolds / Curtis McMullen  Invariants of manifolds and the classication problem / Simon Donaldson  Volumes of hyperbolic 3manifolds / David Gabai  Manifolds : where do we come from? What are we? Where are we going? / Mikhail Gromov  Geometric analysis on 4manifolds / Gang Tian
9 editions published in 2014 in English and held by 146 WorldCat member libraries worldwide
Geometry in 2, 3 and 4 dimensions / Michael Atiyah  Years of topology : work stimulated by poincare's approach to classifying manifolds / John Morgan  The evolution of geometric structures on 3manifolds / Curtis McMullen  Invariants of manifolds and the classication problem / Simon Donaldson  Volumes of hyperbolic 3manifolds / David Gabai  Manifolds : where do we come from? What are we? Where are we going? / Mikhail Gromov  Geometric analysis on 4manifolds / Gang Tian
Period mappings and period domains by
James A Carlson(
Book
)
11 editions published in 2017 in English and held by 139 WorldCat member libraries worldwide
This uptodate introduction to Griffiths' theory of period maps and period domains focusses on algebraic, grouptheoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higherdimensional algebraic varieties such as the NoetherLefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelovtype theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the grouptheoretic approach to Hodge structures is explained, leading to MumfordTate groups and their associated domains, the MumfordTate varieties and generalizations of Shimura varieties
11 editions published in 2017 in English and held by 139 WorldCat member libraries worldwide
This uptodate introduction to Griffiths' theory of period maps and period domains focusses on algebraic, grouptheoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higherdimensional algebraic varieties such as the NoetherLefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelovtype theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the grouptheoretic approach to Hodge structures is explained, leading to MumfordTate groups and their associated domains, the MumfordTate varieties and generalizations of Shimura varieties
The status of subject matter content of high school band rehearsals in the public schools of the United States by
James A Carlson(
)
3 editions published between 1972 and 1977 in English and held by 19 WorldCat member libraries worldwide
3 editions published between 1972 and 1977 in English and held by 19 WorldCat member libraries worldwide
Multivariable mathematics with Maple : linear algebra, vector calculus and differential equations by
James A Carlson(
Book
)
4 editions published in 1997 in English and held by 16 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 16 WorldCat member libraries worldwide
The descent of Christ : an exegetical examination of Ephesians 4:810 by
James Andrew Carlson(
Book
)
2 editions published in 1993 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 11 WorldCat member libraries worldwide
Complex geometry and Lie theory by
James A Carlson(
Book
)
5 editions published between 1991 and 2014 in English and held by 7 WorldCat member libraries worldwide
5 editions published between 1991 and 2014 in English and held by 7 WorldCat member libraries worldwide
Pointwise ergodic theorems for arithmetic sets : with an appendix on returntime sequences by
J Bourgain(
Book
)
1 edition published in 1989 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 5 WorldCat member libraries worldwide
Surface wrapping: A deformable mesh approach to semiautomatic 3D volume segmentation by
James A Carlson(
Book
)
2 editions published between 2010 and 2011 in English and held by 4 WorldCat member libraries worldwide
Surface Wrapping, a new approach to semiautomatic threedimensional segmentation of volumetric data, can be used to rapidly and accurately extract object boundaries from volumes in which noise or poor imaging quality would otherwise make this process difficult. Current semiautomatic techniques often fail to perform effectively when the region of interest is both complex and poorly imaged, either requiring extensive editing of the resulting boundary or forcing the user to resort to manual segmentation. Surface Wrapping attempts to address these problems by combining a simple but robust interface for defining an arbitrarily complex approximate bounding surface with an interactive mesh deformation procedure, providing the best features of both manual and semiautomatic segmentation methods with few of the drawbacks of either
2 editions published between 2010 and 2011 in English and held by 4 WorldCat member libraries worldwide
Surface Wrapping, a new approach to semiautomatic threedimensional segmentation of volumetric data, can be used to rapidly and accurately extract object boundaries from volumes in which noise or poor imaging quality would otherwise make this process difficult. Current semiautomatic techniques often fail to perform effectively when the region of interest is both complex and poorly imaged, either requiring extensive editing of the resulting boundary or forcing the user to resort to manual segmentation. Surface Wrapping attempts to address these problems by combining a simple but robust interface for defining an arbitrarily complex approximate bounding surface with an interactive mesh deformation procedure, providing the best features of both manual and semiautomatic segmentation methods with few of the drawbacks of either
City charter and codification of the ordinances of the city of Waco in force December 1, 1938 by
Waco (Tex.)(
Book
)
1 edition published in 1938 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1938 in English and held by 4 WorldCat member libraries worldwide
The iron horse in court : Thomas Ruffin and the development of North Carolina railroad law by
James A Carlson(
)
2 editions published between 1972 and 1989 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1972 and 1989 in English and held by 3 WorldCat member libraries worldwide
Redacted Version of Solid Rocket Motor (SRM) Industrial Capability Assessment(
Book
)
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
This paper documents an analysis of the current and likely future capability of the solid rocket motor (SRM) industry to meet potential DoD needs for large SRMs for ballistic missiles and other uses. The original report on the SRM analysis had a very limited distribution because it contained information and projections of a companysensitive nature. The sensitive areas have been deleted from this version of the report, but the document is identical to the original in all other respects. The Industrial Analyses Center (IAC) of the Institute for Defense Analyses (IDA) conducted the work under sponsorship of the Deputy Undersecretary of Defense for Industrial Affairs and Installations DUSD(IA & I). The paper describes the current state of this industry, discusses current supply problems, estimates future demand for SRMs, describes the extent to which SRM producers could be sustained by related, nonmilitary SRM business, estimates the likely future capability of SRM producers, and provides recommendations for DoD consideration. The IAC found that reduced demand is likely to drive industry consolidation over the long term and to be sufficient to sustain at least two SRM primes to meet DoD needs. Production of spacelaunch SRMs will maintain most manufacturing capabilities, but increased R & D may be needed to maintain engineering capabilities needed for strategic SRMs. Space Shuttle SRM production has a large impact on the industry, and DoD should reevaluate this area following NASA decisions on possible replacement of that SRM
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
This paper documents an analysis of the current and likely future capability of the solid rocket motor (SRM) industry to meet potential DoD needs for large SRMs for ballistic missiles and other uses. The original report on the SRM analysis had a very limited distribution because it contained information and projections of a companysensitive nature. The sensitive areas have been deleted from this version of the report, but the document is identical to the original in all other respects. The Industrial Analyses Center (IAC) of the Institute for Defense Analyses (IDA) conducted the work under sponsorship of the Deputy Undersecretary of Defense for Industrial Affairs and Installations DUSD(IA & I). The paper describes the current state of this industry, discusses current supply problems, estimates future demand for SRMs, describes the extent to which SRM producers could be sustained by related, nonmilitary SRM business, estimates the likely future capability of SRM producers, and provides recommendations for DoD consideration. The IAC found that reduced demand is likely to drive industry consolidation over the long term and to be sufficient to sustain at least two SRM primes to meet DoD needs. Production of spacelaunch SRMs will maintain most manufacturing capabilities, but increased R & D may be needed to maintain engineering capabilities needed for strategic SRMs. Space Shuttle SRM production has a large impact on the industry, and DoD should reevaluate this area following NASA decisions on possible replacement of that SRM
Variations of Hodge structure of maximal dimension by
James A Carlson(
Book
)
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
An analysis of the leasing decision under uncertainty within the context of a oneperiod, risklessdebt model by
James Allert Carlson(
Book
)
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
De Steiguer 121087 Cruise Report and Preliminary Results(
Book
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Measurements of oceanic velocity and vorticity were made during an experiment conducted in July 1987. The goals of this work were to test the newly developed vorticity meter, to investigate the benthic boundary layer by obtaining profiles of velocity with XCPs, and to determine flow characteristics near a topographic feature. The experimental design and instrument performance are discussed, and preliminary results are presented
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Measurements of oceanic velocity and vorticity were made during an experiment conducted in July 1987. The goals of this work were to test the newly developed vorticity meter, to investigate the benthic boundary layer by obtaining profiles of velocity with XCPs, and to determine flow characteristics near a topographic feature. The experimental design and instrument performance are discussed, and preliminary results are presented
A defect relation for equidimensional holomorphic mappings between algebraic varieties by
James A Carlson(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Clemens, C. Herbert (Charles Herbert) 1939 Other Honoree Contributor Editor
 Peters, C. (Chris) Other
 MüllerStach, Stefan 1962 Other
 Morrison, David R. 1955 Contributor Editor
 Jaffe, Arthur 1937 Editor
 Wiles, Andrew Editor
 Clay Mathematics Institute Publisher Organizer of meeting Editor
 American Mathematical Society Publisher Editor
 Kley, Holger 1966 Other Editor
 Bertram, Aaron 1962 Other Author Editor
Associated Subjects
Algebras, LinearData processing Bands (Music) Canada Corporate debt Descent of Jesus Christ into hell Differential equationsData processing Fourier transformations Functions of complex variables Geometry, Algebraic Geometry, Differential Hodge theory Jesus Christ Leases Lie algebras Manifolds (Mathematics) Maple (Computer file) Mathematicians Mathematics MathematicsAwards MathematicsResearch Moduli theory Municipal charters North Carolina Poincaré, Henri, Poincaré conjecture Prizes (Property captured at sea) Railroads Ruffin, Thomas, School musicInstruction and study Scientists Surfaces, Cubic Symmetric spaces TexasWaco Threefolds (Algebraic geometry) Threemanifolds (Topology) Torelli theorem United States Vector analysisData processing
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Alternative Names
Carlson, J.
Carlson, J. 1946
Carlson, J. (James A.), 1946
Carlson, James.
Carlson, James 1946
Carlson, James A.
Carlson, James Andrew 1946
Languages