Complex Analysis And Algebraic Geometry

Author : Kunihiko Kodaira,W. L. Jr Baily,T. Shioda
Publisher : CUP Archive
Page : 424 pages
File Size : 52,7 Mb
Release : 1977
Category : Mathematics
ISBN : 0521217776

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Complex Analysis and Algebraic Geometry by Kunihiko Kodaira,W. L. Jr Baily,T. Shioda Pdf

The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.

Author : Joseph L. Taylor
Publisher : American Mathematical Soc.
Page : 530 pages
File Size : 44,7 Mb
Release : 2002
Category : Functions of several complex variables
ISBN : 9780821831786

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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by Joseph L. Taylor Pdf

This text presents an integrated development of core material from several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraicsheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest arethe last three chapters, which are devoted to applications of the preceding material to the study of the structure theory and representation theory of complex semisimple Lie groups. Included are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem,which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for theexpert.

Author : Vincenzo Ancona,Alessandro Silva
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 55,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475797718

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Complex Analysis and Geometry by Vincenzo Ancona,Alessandro Silva Pdf

The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.

Author : Enrique Ramirez de Arellano
Publisher : Springer
Page : 192 pages
File Size : 42,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540469131

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Algebraic Geometry and Complex Analysis by Enrique Ramirez de Arellano Pdf

Author : Thomas Peternell,Frank-Olaf Schreyer
Publisher : Unknown
Page : 0 pages
File Size : 41,6 Mb
Release : 1977
Category : Electronic
ISBN : 3111744892

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Complex Analysis and algebraic geometry by Thomas Peternell,Frank-Olaf Schreyer Pdf

Author : S. Coen
Publisher : CRC Press
Page : 522 pages
File Size : 52,7 Mb
Release : 1991-06-03
Category : Mathematics
ISBN : 0824784456

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Geometry and Complex Variables by S. Coen Pdf

This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry, differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie, B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearc

Author : Enrique Ramirez De Arellano
Publisher : Unknown
Page : 196 pages
File Size : 46,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662206331

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Algebraic Geometry and Complex Analysis by Enrique Ramirez De Arellano Pdf

Author : Peter Ebenfelt,Norbert Hungerbühler,Joseph J. Kohn,Ngaiming Mok,Emil J. Straube
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 43,5 Mb
Release : 2011-01-30
Category : Mathematics
ISBN : 9783034600095

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Complex Analysis by Peter Ebenfelt,Norbert Hungerbühler,Joseph J. Kohn,Ngaiming Mok,Emil J. Straube Pdf

This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.

Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 48,7 Mb
Release : 2005
Category : Computers
ISBN : 3540212906

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Complex Geometry by Daniel Huybrechts Pdf

Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Author : Hans Grauert
Publisher : Springer
Page : 243 pages
File Size : 55,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540398295

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Complex Analysis and Algebraic Geometry by Hans Grauert Pdf

Author : Eric Bedford
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 44,9 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821814918

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Several Complex Variables and Complex Geometry, Part III by Eric Bedford Pdf

Author : Serge Lvovski
Publisher : Springer Nature
Page : 257 pages
File Size : 40,8 Mb
Release : 2020-09-26
Category : Mathematics
ISBN : 9783030593650

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Principles of Complex Analysis by Serge Lvovski Pdf

This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The exposition is rigorous but elementary: abstract notions are introduced only if they are really indispensable. This approach provides a motivation for the reader to digest more abstract definitions (e.g., those of sheaves or line bundles, which are not mentioned in the book) when he/she is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e. that of elliptic curves.

Author : Thomas Peternell,Frank-Olaf Schreyer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 416 pages
File Size : 42,8 Mb
Release : 2016-12-19
Category : Mathematics
ISBN : 9783110806090

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Complex Analysis and Algebraic Geometry by Thomas Peternell,Frank-Olaf Schreyer Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Gen Komatsu,Masatake Kuranishi
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461221661

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Analysis and Geometry in Several Complex Variables by Gen Komatsu,Masatake Kuranishi Pdf

This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997. Since the inhomogeneous Cauchy-Riemann equation was introduced in the study of Complex Analysis of Several Variables, there has been strong interaction between Complex Analysis and Real Analysis, in particular, the theory of Partial Differential Equations. Problems in Complex Anal ysis stimulate the development of the PDE theory which subsequently can be applied to Complex Analysis. This interaction involves Differen tial Geometry, for instance, via the CR structure modeled on the induced structure on the boundary of a complex manifold. Such structures are naturally related to the PDE theory. Differential Geometric formalisms are efficiently used in settling problems in Complex Analysis and the results enrich the theory of Differential Geometry. This volume focuses on the most recent developments in this inter action, including links with other fields such as Algebraic Geometry and Theoretical Physics. Written by participants in the Symposium, this vol ume treats various aspects of CR geometry and the Bergman kernel/ pro jection, together with other major subjects in modern Complex Analysis. We hope that this volume will serve as a resource for all who are interested in the new trends in this area. We would like to express our gratitude to the Taniguchi Foundation for generous financial support and hospitality. We would also like to thank Professor Kiyosi Ito who coordinated the organization of the symposium.

Author : Reinhold Remmert
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461209393

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Theory of Complex Functions by Reinhold Remmert Pdf

A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.