Progress in Mathematics

By: H. Lange, C. Birkenhake, Christina Birkenhake

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Hardcover | 1 July 1999

At a Glance

Hardcover
276 Pages

Dimensions(cm)
23.5 x 15.88 x 1.91

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This work is at the crossroads of a number of mathematical areas, including algebraic geometry, several complex variables, differential geometry, and representation theory. It is the first book to cover complex tori, among the simplest of complex manifolds, which are important to research in the above areas. The book gives a systematic approach to the theory, presents new results, and includes an up-to-date bibliography.

Industry Reviews

"...Now, whereas the theory of complex abelian varieties has reached a highly advanced stage of its development, after nearly two hundred years of vast and intense research, comparatively few deep results have been known, so far, about the structure and geometry of general complex tori...From what has been said at the beginning of this review, the uniqueness of this first comprehensive monograph on general complex tori, together with its excellent arrangement of the presented material, has already made it a standard text on the subject, and therefore it must be seen as both a really needed and a highly welcome complement to the literature on the related areas of mathematics..."

-Zentralblatt Math

"Authors have conducted a thorough investigation of these objects. In this volume they present a comprehensive account of their achievements...Containing a great number of new results this monograph will be a standard reference for years to come."

--Zentralblatt Math

"...general complex tori had a scarce literature so far. This gap is filled by the present book... With its complete up-to-date bibliography the book may serve as both manual and graduate text."

--ASM

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You Can Find This Book In

Non-Fiction Medicine Medicine in General Mathematics Probability & Statistics Calculus & Mathematical Analysis Complex Analysis Algebra Geometry Algebraic Geometry Differential & Riemannian Geometry Groups & Group Theory

Introduction
Complex Tori	p. 1
Nondegenerate Complex Tori	p. 35
Embeddings into Projective Space	p. 63
Intermediate Jacobians	p. 91
Families of Complex Tori	p. 115
The Parameter Spaces of Complex Tori with Endomorphism Structure	p. 179
Moduli Spaces	p. 207
The Kronecker Product	p. 225
Anti-Involutions on R-Algebras	p. 229
Complex Structures	p. 233
References	p. 241
Glossary of Notations	p. 245
Index	p. 249
Table of Contents provided by Blackwell. All Rights Reserved.

Progress in Mathematics

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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