Algebraic Geometry And Complex Analysis
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Author |
: Kunihiko Kodaira |
Publisher |
: CUP Archive |
Total Pages |
: 424 |
Release |
: 1977 |
ISBN-10 |
: 0521217776 |
ISBN-13 |
: 9780521217774 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Complex Analysis and Algebraic Geometry by : Kunihiko Kodaira
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 |
: Enrique Ramirez de Arellano |
Publisher |
: Springer |
Total Pages |
: 192 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540469131 |
ISBN-13 |
: 3540469133 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Algebraic Geometry and Complex Analysis by : Enrique Ramirez de Arellano
Author |
: Donu Arapura |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 326 |
Release |
: 2012-02-15 |
ISBN-10 |
: 9781461418092 |
ISBN-13 |
: 1461418097 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Algebraic Geometry over the Complex Numbers by : Donu Arapura
This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.
Author |
: Daniel Huybrechts |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 336 |
Release |
: 2005 |
ISBN-10 |
: 3540212906 |
ISBN-13 |
: 9783540212904 |
Rating |
: 4/5 (06 Downloads) |
Synopsis Complex Geometry by : Daniel Huybrechts
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 |
: Peter Ebenfelt |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 353 |
Release |
: 2011-01-30 |
ISBN-10 |
: 9783034600095 |
ISBN-13 |
: 3034600097 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Complex Analysis by : Peter Ebenfelt
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 |
: S. Coen |
Publisher |
: CRC Press |
Total Pages |
: 522 |
Release |
: 1991-06-03 |
ISBN-10 |
: 0824784456 |
ISBN-13 |
: 9780824784454 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Geometry and Complex Variables by : S. Coen
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 |
: Joseph L. Taylor |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 530 |
Release |
: 2002 |
ISBN-10 |
: 9780821831786 |
ISBN-13 |
: 082183178X |
Rating |
: 4/5 (86 Downloads) |
Synopsis Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by : Joseph L. Taylor
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 |
: Amnon Neeman |
Publisher |
: Cambridge University Press |
Total Pages |
: 433 |
Release |
: 2007-09-13 |
ISBN-10 |
: 9780521709835 |
ISBN-13 |
: 0521709830 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Algebraic and Analytic Geometry by : Amnon Neeman
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
Author |
: K. Kodaira |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 476 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461385905 |
ISBN-13 |
: 1461385903 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Complex Manifolds and Deformation of Complex Structures by : K. Kodaira
This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).
Author |
: Vincenzo Ancona |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 418 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9781475797718 |
ISBN-13 |
: 1475797710 |
Rating |
: 4/5 (18 Downloads) |
Synopsis Complex Analysis and Geometry by : Vincenzo Ancona
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.