Torelli theorem via Fourier-Mukai transform

1998/11/23 by Alexander Beilinson, Beilinson, Alexander, Alexander Polishchuk +1 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9811136

7 pages, Latex2e, minor corrections

openalex publication_date 1998/11/23 · arxiv created 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• NC-smooth thickenings and Jacobians
• Fourier-Mukai Transforms in Algebraic Geometry

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