Complex Abelian Varieties and Theta Functions (Paperback, Softcover reprint of the original 1st ed. 1991)

Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Universitext
Release date:	April 1991
First published:	1991
Authors:	George R. Kempf
Dimensions:	242 x 170 x 10mm (L x W x T)
Format:	Paperback
Pages:	105
Edition:	Softcover reprint of the original 1st ed. 1991
ISBN-13:	978-3-540-53168-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Promotions
LSN:	3-540-53168-8
Barcode:	9783540531685

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!