By Alexander Polishchuk

The purpose of this ebook is to give a latest therapy of the speculation of theta features 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 via discussing the classical thought of theta services from the viewpoint of the illustration conception of the Heisenberg staff (in which the standard Fourier rework performs the in demand role). He then indicates that during the algebraic method of this thought, 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 robust curiosity in algebraic geometry will locate a lot of curiosity during this quantity.

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