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

By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this ebook is to offer a contemporary remedy of the speculation of theta capabilities within the context of algebraic geometry. the newness of its process lies within the systematic use of the Fourier-Mukai remodel. the writer starts off via discussing the classical idea of theta services from the perspective of the illustration idea of the Heisenberg staff (in which the standard Fourier rework performs the well-known role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai remodel can frequently be used to simplify the prevailing 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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