Ahmed Lesfari, Chouaib Doukkali University, Morocco.
ISBN :
Publication Date : January 2026
Hardcover 276 pp
9781836690917 EUR
165.00 USD
Co-publisher
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.
1. Holomorphic Functions of Several Complex Variables.
2. Complex Manifolds and Analytic Varieties.
3. Sheaves and Cohomology.
4. Divisors and Line Bundles.
5. Some Fundamental Theorems.
6. Abelian Varieties.
Ahmed Lesfari is Professor of Mathematics at Chouaib Doukkali University, Morocco. His research focuses on integrable systems and complex geometry.
