By Alexander Polishchuk

the purpose of this e-book is to provide a latest therapy of the idea of theta capabilities within the context of algebraic geometry. the newness of its method lies within the systematic use of the Fourier-Mukai remodel. the writer starts off by means of discussing the classical concept of theta services from the viewpoint of the illustration idea of the Heisenberg team (in which the standard Fourier remodel performs the well-known role). He then exhibits that during the algebraic method of this conception, the Fourier–Mukai remodel can frequently be used to simplify the present 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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