**Introduction to Shimura Varieties**

by J.S. Milne

2004**Number of pages**: 149

**Description**:

This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Notes on Fermionic Fock Space for Number Theorists**

by

**Greg W. Anderson**-

**The University of Arizona**

This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.

(

**7189**views)

**Arithmetic Duality Theorems**

by

**J.S. Milne**-

**BookSurge Publishing**

This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.

(

**10860**views)

**Pluckings from the tree of Smarandache: Sequences and functions**

by

**Charles Ashbacher**-

**American Research Press**

The third book in a series exploring the set of problems called Smarandache Notions. This work delves more deeply into the mathematics of the problems, the level of difficulty here will be somewhat higher than that of the previous books.

(

**12484**views)

**Algorithms for Modular Elliptic Curves**

by

**J. E. Cremona**-

**Cambridge University Press**

The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.

(

**10639**views)