Complex abelian varieties and theta functions George R. Kempf. Universitext.

Kempf, George R.:

ISBN 10: 3540531688 / ISBN 13: 9783540531685

Published by Berlin Heidelberg , Springer-Verl [1991]., 1991

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 14 KEM 9783540531685 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2499318

Bibliographic Details

• Title: Complex abelian varieties and theta functions George R. Kempf. Universitext.
• Publisher: Berlin Heidelberg , Springer-Verl [1991].
• Publication Date: 1991
• Language: English
• ISBN 10: 3540531688
• ISBN 13: 9783540531685
• Binding: Softcover
• Condition: Gut
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.