Abelian Varieties, Theta Functions and the Fourier Transform

by Alexander Polishchuk

The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. The author starts by discussing the classical theory of theta functions from the point of view of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). He then shows that in the...

• Format: Hardcover
• Language: English
• ISBN: 0521808049
• ISBN13: 9780521808040
• Release Date: April 2003
• Publisher: Cambridge University Press
• Length: 308 Pages
• Weight: 1.37 lbs.
• Dimensions: 0.8" x 6.0" x 9.0"