Abelian Varieties, Theta Functions and the Fourier Transform Polishchuk Alexander
Abelian Varieties, Theta Functions and the Fourier Transform Polishchuk Alexander This book is a modern treatment of the theory of theta functions in the context of algebraic geometry. Alexander…
Specifikacia Abelian Varieties, Theta Functions and the Fourier Transform Polishchuk Alexander
Abelian Varieties, Theta Functions and the Fourier Transform Polishchuk Alexander
This book is a modern treatment of the theory of theta functions in the context of algebraic geometry. Alexander Polishchuk starts by discussing the classical theory of theta functions from the viewpoint of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). The novelty of its approach lies in the systematic use of the Fourier-Mukai transform.
This incisive volume is for graduate students and researchers with strong interest in algebraic He then shows that in the algebraic approach to this theory (originally due to Mumford) the Fourier-Mukai transform can often be used to simplify the existing proofs or to provide completely new proofs of many important theorems.