Beilinson, Alexander A.; Polishchuk, Alexander 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]. Cited in 1 Document MSC: 14C34 Torelli problem 14H40 Jacobians, Prym varieties 14K25 Theta functions and abelian varieties 18E30 Derived categories, triangulated categories (MSC2010) PDFBibTeX XMLCite \textit{A. A. Beilinson} and \textit{A. Polishchuk}, Prog. Math. 195, 127--132 (2001; Zbl 1079.14502) Full Text: arXiv