Torelli's theorem for high degree symmetric products of curves
Abstract
We show that two smooth projective curves C_1 and C_2 of genus g which have isomorphic symmetric products are isomorphic unless g=2. This extends a theorem of Martens.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2002
 arXiv:
 arXiv:math/0208180
 Bibcode:
 2002math......8180F
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 D. Huybrechts has pointed out an error in the proof when g = 2. Also, we were recently informed that the result in the case g >