By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this publication is to provide a contemporary remedy of the speculation of theta features within the context of algebraic geometry. the newness of its strategy lies within the systematic use of the Fourier-Mukai remodel. the writer begins by way of discussing the classical conception of theta services from the viewpoint of the illustration thought of the Heisenberg workforce (in which the standard Fourier rework performs the renowned role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai remodel can frequently be used to simplify the present proofs or to supply thoroughly new proofs of many vital 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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