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Torelli theorem via Fourier-Mukai transform. (English) Zbl 1079.14502

Faber, Carel (ed.) et al., Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Basel: Birkhäuser (ISBN 3-7643-6517-X/hbk). Prog. Math. 195, 127-132 (2001).
Summary: We show that the Fourier transform on the Jacobian of a curve interchanges “\(\delta\) functions” at the curve and the theta divisor. The Torelli theorem is an immediate consequence.
For the entire collection see [Zbl 0958.00023].

MSC:

14C34 Torelli problem
14H40 Jacobians, Prym varieties
14K25 Theta functions and abelian varieties
18E30 Derived categories, triangulated categories (MSC2010)
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