WorldCat Identities

Hirzebruch, Friedrich

Works: 238 works in 756 publications in 5 languages and 8,376 library holdings
Genres: Conference papers and proceedings  Festschriften  Biography  History 
Roles: Author, Editor, Honoree, Dedicatee, Other, Author of introduction, Contributor, Interviewee, Creator, Commentator
Classifications: QA564, 510
Publication Timeline
Most widely held works by Friedrich Hirzebruch
Topological methods in algebraic geometry by Friedrich Hirzebruch( Book )

51 editions published between 1966 and 2013 in 3 languages and held by 1,006 WorldCat member libraries worldwide

In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for­ mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo­ morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those of SERRE in that they use techniques from differential geometry (harmonic integrals etc. ) but do not make any use of the theory of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory. I was able to work together with K. KODAIRA and D. C. SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954
Arbeitstagung Bonn, 1984 : proceedings of the meeting held by the Max-Planck-Institut für Mathematik, Bonn, June 15-22, 1984 by Friedrich Hirzebruch( Book )

30 editions published between 1984 and 1985 in 3 languages and held by 560 WorldCat member libraries worldwide

To non commutative differential geometry -- Special values of hecke L-functions and abelian integrals -- An introduction to infinitesimal variations of hodge structures -- New dimensions in geometry -- Commentary on the article of manin -- The mandelbrot set in a model for phase transitions -- Recent developments in representation theory -- Loop groups -- Some recent results in complex manifold theory related to vanishing theorems for the semipositive case -- Groups and group functors attached to kac-moody data -- Modular points, modular curves, modular surfaces and modular forms -- Eigenvalues of the dirac operator -- Manifolds of non positive curvature -- Metrics with holonomy G2 or spin (7) -- On riemannian metrics adapted to three-dimensional contact manifolds -- 4-Manifolds with indefinite intersection form -- Arithmetische Kompaktifizierung des Modulraums der abelschen Varietäten -- The schottky problem -- Vojta’s conjecture -- A counterexample in 3-space to a conjecture of H. Hopf -- The topology and geometry of the moduli space of Riemann surfaces -- Addendum
O(n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten by Friedrich Hirzebruch( Book )

26 editions published between 1968 and 2007 in 4 languages and held by 550 WorldCat member libraries worldwide

G-Mannigfaltigkeiten -- Spezielle G-Mannigfaltigkeiten -- Der Klassifikationssatz für spezielle G-Mannigfaltigkeiten -- Spezielle O(n)-Mannigfaltigkeiten über D2 -- Die Mannigfaltigkeiten W2n?1(d) -- Die Vielfachen des Tangentialbündels von Sn -- Äquivariantes Verkleben -- Die Homologie von Baummannigfaltigkeiten -- Quadratische Formen, ARFsche Invariante -- Bericht über Sphären -- Sphären als Umgebungsränder von Singularitäten I -- Die ganzzahlige homologie gewisser affin algebraischer Mannigfaltigkeiten -- Ganzzahlige quadratische Formen -- Sphären als Umgebungsränder von Singularitäten II -- Periodische Abbildungen von Sphären
Prospects in mathematics by Friedrich Hirzebruch( Book )

18 editions published between 1971 and 2010 in English and held by 514 WorldCat member libraries worldwide

Neue topologische Methoden in der algebraischen Geometrie by Friedrich Hirzebruch( Book )

26 editions published between 1955 and 1962 in 3 languages and held by 449 WorldCat member libraries worldwide

Differentiable manifolds and quadratic forms by Friedrich Hirzebruch( Book )

25 editions published between 1962 and 1992 in English and Undetermined and held by 417 WorldCat member libraries worldwide

Lattices and codes : a course partially based on lectures by F. Hirzebruch by Wolfgang Ebeling( Book )

11 editions published between 1994 and 2013 in English and German and held by 408 WorldCat member libraries worldwide

"The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory." "In the 2[superscript nd] edition numerous corrections and improvements have been made. More basic material has been included to make the text even more self-contained. A new section on automorphism groups related to the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added."--BOOK JACKET
Miscellanea mathematica by Michael Francis Atiyah( Book )

14 editions published in 1991 in English and German and held by 343 WorldCat member libraries worldwide

Mathematics has a certain mystique, for it is pure and ex- act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in- dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu- blishing, took up this challenge with his typical enthusi- asm. This Festschrift celebrates his invaluable contribu- tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's life-long support of mathematics
The Atiyah-Singer theorem and elementary number theory by Friedrich Hirzebruch( Book )

13 editions published in 1974 in English and held by 335 WorldCat member libraries worldwide

Manifolds and modular forms by Friedrich Hirzebruch( Book )

23 editions published between 1992 and 1994 in English and German and held by 325 WorldCat member libraries worldwide

During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms". I wanted to develop the theory of "Elliptic Genera" and to learn it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thorn cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the A-genus. The A-genus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the A-genus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps 0 giving the signature and the A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold
Algebraic geometry, Hirzebruch 70 : proceedings of the Algebraic Geometry Conference in honor of F. Hirzebruch's 70th birthday, May 11-16, 1998, Stefan Banach International Mathematical Center Warszawa, Poland by Algebraic Geometry Conference in Honor of F. Hirzebruch's 70th Birthday( Book )

15 editions published between 1999 and 2012 in English and held by 274 WorldCat member libraries worldwide

Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch by Werner Ballmann( )

4 editions published in 2016 in English and held by 264 WorldCat member libraries worldwide

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung. (4e de couv.)
Wolf prize in mathematics( Book )

8 editions published in 2001 in English and held by 228 WorldCat member libraries worldwide

The documents collected bibliographies, curricula vitae, autobiographical accounts, early-important papers, lectures and speeches, as well as reports on the work of the prize winners by other. List of mathematicians concerned in this volume : Raoul Bott, A.P. Calderón, A.N. Kolmogorov, M.G. Krein, P.D. Dax, Hans Lewy, László Lovász, John W. Milnor, Jürgen L. Moser, Ilya Piatetski-Shapiro, Jean-Pierre Serre, Carl L. Siegel, Yakov G. Sinai, Elias M. Stein, Jacques Tits, André Weil, Hassler Whitney, Andrew J. Wiles, Oscae Zariski
Gesammelte Abhandlungen = Collected papers by Friedrich Hirzebruch( Book )

28 editions published between 1987 and 2018 in 4 languages and held by 214 WorldCat member libraries worldwide

Surveys in differential geometry : papers dedicated to Atiyah, Bott, Hirzebruch, and Singer by Conference on Geometry and Topology( Book )

13 editions published between 2000 and 2002 in English and held by 206 WorldCat member libraries worldwide

Lectures on Hilbert modular surfaces by Friedrich Hirzebruch( Book )

10 editions published in 1981 in English and held by 187 WorldCat member libraries worldwide

Einführung in die Funktionalanalysis by Friedrich Hirzebruch( Book )

24 editions published between 1971 and 2009 in German and Undetermined and held by 183 WorldCat member libraries worldwide

Zur algebraischen Geometrie : selected papers by B. L. van der Waerden( Book )

8 editions published between 1973 and 2013 in German and English and held by 166 WorldCat member libraries worldwide

Geradenkonfigurationen und algebraische Flächen by Gottfried Barthel( Book )

11 editions published between 1987 and 1990 in German and held by 150 WorldCat member libraries worldwide

Hilbert modular surfaces by Friedrich Hirzebruch( Book )

6 editions published between 1972 and 1973 in English and held by 120 WorldCat member libraries worldwide

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Audience level: 0.68 (from 0.59 for Lattices a ... to 0.84 for Einführun ...)

Prospects in mathematics
Arbeitstagung Bonn, 1984 : proceedings of the meeting held by the Max-Planck-Institut für Mathematik, Bonn, June 15-22, 1984O(n)-Mannigfaltigkeiten, exotische Sphären und SingularitätenProspects in mathematicsThe Atiyah-Singer theorem and elementary number theoryAlgebraic geometry, Hirzebruch 70 : proceedings of the Algebraic Geometry Conference in honor of F. Hirzebruch's 70th birthday, May 11-16, 1998, Stefan Banach International Mathematical Center Warszawa, PolandWolf prize in mathematicsGesammelte Abhandlungen = Collected papersEinführung in die Funktionalanalysis
Alternative Names
Chircebruch, F.

Chircebruch, F. 1927-2012

Chircebruch, F. [t]

Friedrich Ernst Peter Hirzebruch.

Friedrich Hirzebruch deutscher Mathematiker

Friedrich Hirzebruch Duits wiskundige

Friedrich Hirzebruch German mathematician

Friedrich Hirzebruch matemàtic alemany

Friedrich Hirzebruch matemático alemán

Friedrich Hirzebruch matematico tedesco

Friedrich Hirzebruch mathématicien allemand

Friedrich Hirzebruch tysk matematikar

Friedrich Hirzebruch tysk matematiker

Hircebruh, F.

Hirzebruch F.

Hirzebruch, F. 1927-2012

Hirzebruch, F. (Friedrich)

Hirzebruch, Friedrch E.P. 1927-

Hirzebruch, Friedrich.

Hirzebruch, Friedrich E. 1927-2012

Hirzebruch, Friedrich E. P. 1927-2012

Hirzebruch, Friedrich Ernst Peter.

Hirzebruch, Friedrich Ernst Peter 1927-...

Hirzebruch Friedrich Ernst Peter 1927-2012

Hirzebruch, Fritz

Hirzebruch, Fritz 1927-

Hirzebruch, Fritz 1927-2012

Фридрих Хирцебрух

Хирцебрух Ф.

Хирцебрух, Фридрих

فريدريش هيرتسبروخ رياضياتي ألماني

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