Download Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk PDF

April 13, 2017 | Number Theory | By admin | 0 Comments

By Alexander Polishchuk

the purpose of this e-book is to provide a contemporary remedy of the speculation of theta capabilities within the context of algebraic geometry. the newness of its procedure lies within the systematic use of the Fourier-Mukai remodel. the writer starts off through discussing the classical conception of theta services from the perspective of the illustration conception of the Heisenberg team (in which the standard Fourier rework performs the widespread role). He then indicates that during the algebraic method of this conception, the Fourier–Mukai remodel can usually be used to simplify the present 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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