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
![Book cover: Lectures on Curves on Rational and Unirational Surfaces](images/7543.jpg)
by Masayoshi Miyanishi - Tata Institute of Fundamental Research
From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.
(9632 views)
![Book cover: Algebraic Curves: an Introduction to Algebraic Geometry](images/2071.jpg)
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.
(15852 views)
![Book cover: Geometric Complexity Theory: An Introduction for Geometers](images/9178.jpg)
by J.M. Landsberg - arXiv
This is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory. The article is written to be accessible to graduate students. Numerous open questions are presented.
(8949 views)
![Book cover: Lectures On Old And New Results On Algebraic Curves](images/7071.jpg)
by P. Samuel - Tata Institute Of Fundamental Research
The aim of this text is to give a proof, due to Hans Grauert, of an analogue of Mordell's conjecture. Contents: Introduction; Algebro-Geometric Background; Algebraic Curves; The Theorem of Grauert (Mordell's conjecture for function fields).
(9829 views)