By Christina Birkenhake

This booklet explores the speculation of abelian kinds over the sector of complicated numbers, explaining either vintage and up to date ends up in sleek language. the second one variation provides 5 chapters on fresh effects together with automorphisms and vector bundles on abelian forms, algebraic cycles and the Hodge conjecture. ". . . way more readable than so much . . . it's also even more complete." Olivier Debarre in Mathematical reports, 1994.

Show description

Read or Download Complex Abelian Varieties (Grundlehren der mathematischen Wissenschaften) PDF

Similar Algebraic Geometry books

An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)

An available textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this publication develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first ideas. construction at the heritage fabric from algebraic geometry and algebraic teams, the textual content offers an creation to extra complex and specialized fabric.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The idea of elliptic curves is wonderful by way of its lengthy heritage and through the variety of the equipment which were utilized in its learn. This publication treats the mathematics technique in its sleek formula, by using uncomplicated algebraic quantity idea and algebraic geometry. Following a short dialogue of the required algebro-geometric effects, the publication proceeds with an exposition of the geometry and the formal staff of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and worldwide fields.

Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics)

This seriously class-tested e-book is an exposition of the theoretical foundations of hyperbolic manifolds. it's a either a textbook and a reference. A simple wisdom of algebra and topology on the first 12 months graduate point of an American college is thought. the 1st half is worried with hyperbolic geometry and discrete teams.

Extra resources for Complex Abelian Varieties (Grundlehren der mathematischen Wissenschaften)

Show sample text content

Rated 4.54 of 5 – based on 17 votes