Complex Manifolds and Geometric Algebraic Analysis
eBook - ePub

Complex Manifolds and Geometric Algebraic Analysis

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Complex Manifolds and Geometric Algebraic Analysis

About this book

Complex Manifolds and Geometric Algebraic Analysis is intended for graduate students in mathematics, physics, and beyond.

The book is divided into ten chapters. Chapter 1 deals with the properties of holomorphic functions of several complex variables. Chapter 2 introduces tools for studying complex manifolds and analytic varieties, whilst Chapter 3 covers the foundational material from sheaves and cohomology. Chapter 4 concerns the study of divisors and line bundles on complex manifolds, and Chapter 5 is devoted to some fundamental theorems. Chapter 6 covers definitions and examples of abelian varieties, whilst Chapter 7 studies theta functions on complex projective tori. Lastly, the aim of Chapter 8 is to discuss an interesting interaction between complex algebraic geometry and dynamical systems.

This book is supplemented with two appendices, one on Riemann surfaces and algebraic curves and the other covering elliptic functions and elliptic integrals. Additionally, various examples, exercises, and problems with solutions are provided throughout the book.

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Yes, you can access Complex Manifolds and Geometric Algebraic Analysis by Ahmed Lesfari in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley-ISTE
Year
2025
Print ISBN
9781836690917
eBook ISBN
9781394427758

Table of contents

  1. Cover
  2. Table of Contents
  3. Title Page
  4. Copyright Page
  5. Preface
  6. 1 Holomorphic Functions of Several Complex Variables
  7. 2 Complex Manifolds and Analytic Varieties
  8. 3 Sheaves and Cohomology
  9. 4 Divisors and Line Bundles
  10. 5 Some Fundamental Theorems
  11. 6 Abelian Varieties
  12. 7 Theta Functions and Complex Projective Tori
  13. 8 Algebraically Completely Integrable Systems
  14. 9 Appendix: Riemann Surfaces and Algebraic Curves
  15. 10 Appendix: Elliptic Functions and Elliptic Integrals
  16. References
  17. Index
  18. End User License Agreement