Download Abelian varieties and the Fourier transform by Alexander Polishchuk PDF

By Alexander Polishchuk

The purpose of this ebook is to give a contemporary therapy of the speculation of theta features within the context of algebraic geometry. the newness of its method lies within the systematic use of the Fourier-Mukai rework. the writer starts off by means of discussing the classical thought of theta capabilities from the perspective of the illustration thought of the Heisenberg team (in which the standard Fourier remodel performs the well-known 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 vital theorems. Graduate scholars and researchers with powerful curiosity in algebraic geometry will locate a lot of curiosity during this quantity.

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Example text

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9) was given iIl 1-, int,errers h deviations of c"q = 0,1,2, ...

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