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 offer a contemporary remedy of the speculation of theta services within the context of algebraic geometry. the newness of its technique lies within the systematic use of the Fourier-Mukai remodel. the writer begins through discussing the classical conception of theta features from the perspective of the illustration idea of the Heisenberg crew (in which the standard Fourier remodel performs the well-liked role). He then indicates 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 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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