English

Torelli theorem via Fourier-Mukai transform

Algebraic Geometry 2007-05-23 v4

Abstract

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

Keywords

Cite

@article{arxiv.math/9811136,
  title  = {Torelli theorem via Fourier-Mukai transform},
  author = {Alexander Beilinson and Alexander Polishchuk},
  journal= {arXiv preprint arXiv:math/9811136},
  year   = {2007}
}

Comments

7 pages, Latex2e, minor corrections