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Torelli theorem via Fourier-Mukai transform

Alexander Beilinson·Alexander Polishchuk
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Abstract

We show that the Fourier transform on the Jacobian of a curve interchanges "$δ$ functions" at the curve and the theta divisor. The Torelli theorem is an immediate consequence.

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Alexander Beilinson, Alexander Polishchuk. 1999-10-01. Torelli theorem via Fourier-Mukai transform. https://arxiv.org/abs/math/9811136

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