**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

**Algebraic Curves: an Introduction to Algebraic Geometry**

by

**William Fulton**-

**Benjamin**

These notes develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. It assumed that the reader is familiar with some basic properties of rings, ideals, and polynomials.

(

**15959**views)

**Lectures on An Introduction to Grothendieck's Theory of the Fundamental Group**

by

**J.P. Murre**-

**Tata Institute of Fundamental Research**

The purpose of this text is to give an introduction to Grothendieck's theory of the fundamental group in algebraic geometry with the study of the fundamental group of an algebraic curve over an algebraically closed field of arbitrary characteristic.

(

**10625**views)

**Introduction to Stokes Structures**

by

**Claude Sabbah**-

**arXiv**

The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one.

(

**10400**views)

**Introduction to Projective Varieties**

by

**Enrique Arrondo**-

**Universidad Complutense de Madrid**

The scope of these notes is to present a soft and practical introduction to algebraic geometry, i.e. with very few algebraic requirements but arriving soon to deep results and concrete examples that can be obtained 'by hand'.

(

**10577**views)