دانلود کتاب Abelian Varieties, Theta Functions and the Fourier Transform

Name: Abelian Varieties, Theta Functions and the Fourier Transform
Availability: InStock
Author: Alexander Polishchuk
ISBN: 0521808049, 9780521808040

by Alexander Polishchuk

عنوان فارسی: رقم abelian، توابع تتا و تبدیل فوریه
ناشر: Cambridge University Press
سال: 2002
ویرایش: 1st
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 308-308
شابک: 0521808049, 9780521808040
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 3.00 مگابایت

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جزییات کتاب

This book is 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. 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). 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. This incisive volume is for graduate students and researchers with strong interest in algebraic geometry.

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