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

By Alexander Polishchuk

the purpose of this e-book is to provide a latest therapy of the idea of theta features within the context of algebraic geometry. the newness of its process lies within the systematic use of the Fourier-Mukai remodel. the writer begins by means of discussing the classical idea of theta features from the perspective of the illustration thought of the Heisenberg crew (in which the standard Fourier rework performs the fashionable role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai remodel can usually be used to simplify the prevailing 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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