**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

**Algebraic Number Theory**

by

**J.S. Milne**

Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.

(

**16099**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.

(

**6865**views)

**Heegner Points and Rankin L-Series**

by

**Henri Darmon, Shou-Wu Zhang**-

**Cambridge University Press**

This volume has the Gross-Zagier formula and its avatars as a common unifying theme. It covers the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics.

(

**9039**views)

**Lectures on Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**10034**views)