Science/Engineering Abelian Varieties, Theta Functions and the Fourier Transform: Alexander Polishchuk (0521808049)

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Abelian Varieties, Theta Functions and the Fourier Transform: Alexander Polishchuk

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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	Science/Engineering Compactifying Moduli Spaces for Abelian Varieties Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics): Martin C. Olsson Springer \| ISBN: 354070518X \| October 10, 2008 \| djvu (ocr) \| 286 pages \| 2.30 Mb This volume presents the construction of canonical modular ...
	Science/Engineering Complex Abelian Varieties and Theta Functions Complex Abelian Varieties and Theta Functions (Universitext): George R. Kempf Springer \| ISBN: 0387531688 \| September 1991 \| PDF (OCR) \| 96 pages \| 1354 KB Abelian varieties are a natural generalization of elliptic curves to higher dimensi ...
	Science/Engineering Complex Abelian Varieties and Theta Functions (Universitext): George R. Kempf Complex Abelian Varieties and Theta Functions (Universitext): George R. Kempf Springer \| ISBN: 0387531688 \| September 1991 \| PDF (OCR) \| 96 pages \| 1354 KB Abelian varieties are a natural generalization of elliptic curves to higher dimensi ...
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