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Complex Manifolds and Geometric Algebraic Analysis
Hardcover
Series: Iste Invoiced
ISBN13: 9781836690917
Publisher: Wiley-Iste
Published: Jan 15 2026
Pages: 288
Weight: 1.28
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
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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