Corpus ID: 15844857

Torelli's theorem for high degree symmetric products of curves

@article{Fakhruddin2002TorellisTF,
  title={Torelli's theorem for high degree symmetric products of curves},
  author={Najmuddin Fakhruddin},
  journal={arXiv: Algebraic Geometry},
  year={2002}
}
  • N. Fakhruddin
  • Published 23 August 2002
  • Mathematics
  • arXiv: Algebraic Geometry
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. 
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f(a) = ί f(v)e>>dv Jv gives an isometry between L\V) and L(V), where V is the dual vector space of V and < , >: Vx V -> R is the canonical pairing. In this article, we shall show that an analogyExpand
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Homi Bhabha Road, Mumbai 400005, India E-mail address: naf@math.tifr.res
  • Homi Bhabha Road, Mumbai 400005, India E-mail address: naf@math.tifr.res