WorldCat Identities

Griffiths, Phillip 1938-

Overview
Works: 166 works in 573 publications in 2 languages and 16,171 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Contributor, Other, Collector
Classifications: QA564, 516.35
Publication Timeline
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Most widely held works by Phillip Griffiths
Mathematical sciences, technology, and economic competitiveness by James G Glimm( )

8 editions published in 1991 in English and held by 1,674 WorldCat member libraries worldwide

This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industries--aircraft, petroleum, automotive, semiconductor, and telecommunications--illustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these high-technology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life
Inspired by S.S. Chern : a memorial volume in honor of a great mathematician by Phillip Griffiths( )

16 editions published in 2006 in English and held by 1,593 WorldCat member libraries worldwide

IV. Analysis of sing Vc on FourfoldsV. Maps in the Case of Fourfolds; VI. Conclusions; References; Chapter 10: Planar Web Geometry Through Abelian Relations and Singularities; 1. Introduction and Basic Objects; 2. From Abelian Relations to Connections; 3. Singularities of Webs Come on Stage; References; Chapter 11: Transitive Analytic Lie Pseudo-Groups; 1. Introduction; 2. Invariant Forms and the Cartan Structure Equations; 3. An Infinite-Dimensional Lie Group Approach; References; Chapter 12: Stability of Closed Characteristics on Compact Convex Hypersurfaces
Mumford-Tate groups and domains : their geometry and arithmetic by Mark Green( )

20 editions published between 2012 and 2017 in English and held by 1,558 WorldCat member libraries worldwide

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of finite dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge representations, a topic that should become a standard in the finite-dimensional representation theory of noncompact, real, semisimple Lie groups. They also indicate that in the future, a connection seems ready to be made between Lie groups that admit discrete series representations and the study of automorphic cohomology on quotients of Mumford-Tate domains by arithmetic groups. Bringing together complex geometry, representation theory, and arithmetic, this book opens up a fresh perspective on an important subject
Chairing the mathematical sciences department of the 1990s : proceedings of a colloquium, October 27-28, 1989, Arlington, Virginia by Board on Mathematical Sciences( )

3 editions published in 1990 in English and held by 1,109 WorldCat member libraries worldwide

Principles of algebraic geometry by Phillip Griffiths( Book )

51 editions published between 1976 and 2014 in English and Undetermined and held by 1,093 WorldCat member libraries worldwide

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds
Rational homotopy theory and differential forms by Phillip Griffiths( )

26 editions published between 1981 and 2013 in English and Russian and held by 861 WorldCat member libraries worldwide

Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH (Review of First Edition) The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented
Entire holomorphic mappings in one and several complex variables by Phillip A Griffith( Book )

16 editions published between 1975 and 1976 in English and held by 668 WorldCat member libraries worldwide

Hodge Theory (MN-49) by Dũng Tráng Lê( )

2 editions published in 2014 in Undetermined and English and held by 631 WorldCat member libraries worldwide

This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas of contemporary mathematics-from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students
Topics in transcendental algebraic geometry( Book )

17 editions published between 1983 and 2016 in English and Undetermined and held by 617 WorldCat member libraries worldwide

"During 1981-1982 the Institute for Advanced Study held a special year on algebraic geometry. Naturally there were a number of seminars, and this volume is essentially the proceedings of one of these. The motif of the seminar was to explore the ways in which the recent developments in formal Hodge theory might be applied to problems in algebraic geometry."- introduction
Differential systems and isometric embeddings by Phillip Griffiths( Book )

19 editions published between 1987 and 2016 in English and Russian and held by 610 WorldCat member libraries worldwide

The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds
Exterior differential systems and the calculus of variations by Phillip Griffiths( Book )

20 editions published between 1982 and 1986 in 3 languages and held by 517 WorldCat member libraries worldwide

15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the Euler-Lagrange Equations; Examples e) The Euler-Lagrange Differential System; Non-Degenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULER-LAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the Euler-Lagrange System for Some Differential-Geometric Variational Pro~lems: 2 i) (K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non- Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV
Infinite abelian group theory by Phillip A Griffith( Book )

14 editions published in 1970 in English and Undetermined and held by 509 WorldCat member libraries worldwide

Introduction to algebraic curves by Phillip A Griffiths( Book )

27 editions published between 1989 and 1999 in English and Undetermined and held by 497 WorldCat member libraries worldwide

Topics in algebraic and analytic geometry; notes from a course of Phillip Griffiths by Phillip Griffiths( Book )

20 editions published between 1974 and 2016 in English and held by 454 WorldCat member libraries worldwide

Geometry of algebraic curves by Enrico Arbarello( )

19 editions published between 2011 and 2014 in English and held by 447 WorldCat member libraries worldwide

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series
Geometry of algebraic curves by E Arbarello( Book )

in English and held by 380 WorldCat member libraries worldwide

In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves)
An introduction to the theory of special divisors on algebraic curves by Phillip A Griffiths( Book )

16 editions published in 1980 in English and held by 349 WorldCat member libraries worldwide

In May, 1979, an NSF Regional Conference was held at the University of Georgia in Athens. The topic of the conference was "Special divisors on algebraic curves, ". This monograph gives an exposition of the elementary aspects of the theory of special divisors together with an explanation of some more advanced results that are not too technical. As such, it is intended to be an introduction to recent sources. As with most subjects, one may approach the theory of special divisors from several points of view. The one adopted here pertains to Clifford's theorem, and may be informally stated as follo
On the tangent space to the space of algebraic cycles on a smooth algebraic variety by M Green( Book )

12 editions published between 2004 and 2005 in English and held by 338 WorldCat member libraries worldwide

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Bloch's formula is motivated by algebraic K-theory and involves differentials over Q. The theory developed here is characterized by the appearance of arithmetic considerations even in the local infinitesimal theory of algebraic cycles. The map from the tangent space to the Hilbert scheme to the tangent space to algebraic cycles passes through a variant of an interesting construction in commutative algebra due to Angéniol and Lejeune-Jalabert. The link between the theory given here and Bloch's formula arises from an interpretation of the Cousin flasque resolution of differentials over Q as the tangent sequence to the Gersten resolution in algebraic K-theory. The case of 0-cycles on a surface is used for illustrative purposes to avoid undue technical complications
Exterior differential systems and Euler-Lagrange partial differential equations by Robert L Bryant( Book )

7 editions published in 2003 in English and held by 260 WorldCat member libraries worldwide

In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws
Hodge theory, complex geometry, and representation theory by M Green( Book )

12 editions published between 2013 and 2017 in English and Undetermined and held by 236 WorldCat member libraries worldwide

This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another-an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these repre
 
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Principles of algebraic geometry
Covers
Inspired by S.S. Chern : a memorial volume in honor of a great mathematicianPrinciples of algebraic geometryEntire holomorphic mappings in one and several complex variablesTopics in transcendental algebraic geometryDifferential systems and isometric embeddingsIntroduction to algebraic curvesTopics in algebraic and analytic geometry; notes from a course of Phillip GriffithsGeometry of algebraic curves
Alternative Names
Feilipu Geliefeisi

Geliefeisi Feilipu

Griffiths, P.

Griffiths, P. 1938-

Griffiths, P. A.

Griffiths, P. A. 1938-

Griffiths, Philip 1938-

Griffiths, Phillip.

Griffiths, Phillip 1938-

Griffiths Phillip A.

Griffiths, Phillip A. 1938-

Griffiths, Phillip Augustus 1938-

Griffiths, Pillip A. 1938-

Griffits, F.

Griffits, F. 1938-

Griffits, Filip 1938-

Griffits, Fillip 1938-

Phillip Griffiths Amerikaans wiskundige

Phillip Griffiths amerikansk matematikar

Phillip Griffiths amerikansk matematiker

Phillip Griffiths matemático estadounidense

Phillip Griffiths matematico statunitense

Phillip Griffiths mathématicien américain

Phillip Griffiths US-amerikanischer Mathematiker

Гриффитс, Ф..

Гриффитс, Ф. А 1938-

Гриффитс Филип А.

Филипп Гриффитс математик

فیلیپ قریفیتس

فیلیپ گریفیتس ریاضی‌دان آمریکایی

필립 오거스터스 그리피스

フィリップ・グリフィス

菲利普·格里菲思

Languages
English (316)

Russian (4)