**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

**Lectures on Deformations of Singularities**

by

**Michael Artin**-

**Tata Institute of Fundamental Research**

These notes are based on a series of lectures given in 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.

(

**5284**views)

**Analysis on Homogeneous Spaces**

by

**Ralph Howard**-

**Royal Institute of Technology Stockholm**

The main goal of these notes is to give a proof of the basic facts of harmonic analysis on compact symmetric spaces and then to apply these to concrete problems involving things such as the Radon and related transforms on these spaces.

(

**5236**views)

**Algebraic Geometry**

by

**J.S. Milne**

These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.

(

**10846**views)

**Convex Bodies and Algebraic Geometry**

by

**Tadao Oda**-

**Springer**

The theory of toric varieties describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications ...

(

**2831**views)