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

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

By Alexander Polishchuk

the purpose of this publication is to give a contemporary therapy of the speculation of theta features within the context of algebraic geometry. the newness of its technique lies within the systematic use of the Fourier-Mukai rework. the writer starts off through discussing the classical thought of theta services from the viewpoint of the illustration thought of the Heisenberg team (in which the standard Fourier rework performs the admired role). He then exhibits that during the algebraic method of this conception, the Fourier–Mukai remodel can usually 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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