Download E-books Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics) PDF

By Alexander Polishchuk

This ebook is a latest therapy of the idea of theta features within the context of algebraic geometry. the newness of its technique lies within the systematic use of the Fourier-Mukai rework. Alexander Polishchuk starts off through discussing the classical conception of theta features from the point of view of the illustration thought of the Heisenberg team (in which the standard Fourier rework performs the famous role). He then indicates that during the algebraic method of this thought (originally because of Mumford) the Fourier-Mukai rework can usually be used to simplify the present proofs or to supply thoroughly new proofs of many vital theorems. This incisive quantity is for graduate scholars and researchers with robust curiosity in algebraic geometry.

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