**Complex Multiplication**

by J. S. Milne

2006**Number of pages**: 113

**Description**:

These are preliminary notes for a modern account of the theory of complex multiplication. The reader is expected to have a good knowledge of basic algebraic number theory, and basic algebraic geometry, including abelian varieties.

Download or read it online for free here:

**Download link**

(930KB, PDF)

## Similar books

**Lectures on Siegel Modular Forms and Representation by Quadratic Forms**

by

**Y. Kitaoka**-

**Tata Institute of Fundamental Research**

This book is concerned with the problem of representation of positive definite quadratic forms by other such forms. From the table of contents: Preface; Fourier Coefficients of Siegel Modular Forms; Arithmetic of Quadratic Forms.

(

**3681**views)

**An Introduction to Algebraic Number Theory**

by

**F. Oggier**-

**Nanyang Technological University**

Contents: Algebraic numbers and algebraic integers (Rings of integers, Norms and Traces); Ideals (Factorization and fractional ideals, The Chinese Theorem); Ramification theory; Ideal class group and units; p-adic numbers; Valuations; p-adic fields.

(

**6155**views)

**A Course In Algebraic Number Theory**

by

**Robert B. Ash**-

**University of Illinois**

Basic course in algebraic number theory. It covers the general theory of factorization of ideals in Dedekind domains, the use of Kummerâ€™s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.

(

**10376**views)

**Notes on the Theory of Algebraic Numbers**

by

**Steve Wright**-

**arXiv**

This is a series of lecture notes on the elementary theory of algebraic numbers, using only knowledge of a first-semester graduate course in algebra (primarily groups and rings). No prerequisite knowledge of fields is required.

(

**2821**views)