Abelian Varieties
by J. S. Milne
2008
Number of pages: 172
Description:
An introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.
Download or read it online for free here:
Download link
(1.2MB, PDF)
Similar books
Determinantal Ringsby Winfried Bruns, Udo Vetter - Springer
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.
(13134 views)
Introduction to Algebraic Topology and Algebraic Geometryby U. Bruzzo
Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.
(12653 views)
Introduction To Algebraical Geometryby A. Clement Jones - Oxford University Press
The author's aim has been to produce a book suitable to the beginner who wishes to acquire a sound knowledge of the more elementary parts of the subject, and also sufficient for the candidate for a mathematical scholarship.
(8037 views)
Lectures on Siegel's Modular Functionsby H. Maass - Tata Institute of Fundamental Research
Contents: Modular Group of Degree n; Symplectic group of degree n; Reduction Theory of Positive Definite Quadratic Forms; Fundamental Domain of the Modular Group of Degree n; Modular Forms of Degree n; Algebraic dependence of modular forms; etc.
(12699 views)