Get Abelian Varieties, Theta Functions and the Fourier Transform PDF

By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this e-book is to provide a contemporary therapy of the speculation of theta services within the context of algebraic geometry. the newness of its process lies within the systematic use of the Fourier-Mukai remodel. the writer begins via discussing the classical idea of theta features from the viewpoint of the illustration idea of the Heisenberg crew (in which the standard Fourier rework performs the admired role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai rework can usually be used to simplify the present proofs or to supply thoroughly new proofs of many very important 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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