Get Abelian Varieties, Theta Functions and the Fourier Transform PDF

By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this publication is to give a latest remedy 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 rework. the writer begins by means of discussing the classical concept of theta capabilities from the viewpoint of the illustration conception of the Heisenberg crew (in which the standard Fourier remodel performs the admired role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai rework can frequently be used to simplify the prevailing proofs or to supply thoroughly new proofs of many very important theorems. Graduate scholars and researchers with robust 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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