Download e-book for kindle: Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk

By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this publication is to give a contemporary therapy of the idea of theta capabilities within the context of algebraic geometry. the newness of its strategy lies within the systematic use of the Fourier-Mukai remodel. the writer starts off through discussing the classical conception of theta features from the perspective of the illustration concept of the Heisenberg workforce (in which the standard Fourier remodel performs the sought after role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai remodel can frequently be used to simplify the present proofs or to supply thoroughly new proofs of many vital theorems. Graduate scholars and researchers with powerful curiosity in algebraic geometry will locate a lot of curiosity during this volume.

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Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics) by Alexander Polishchuk

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