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Torelli's theorem for high degree symmetric products of curves

Najmuddin Fakhruddin
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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.

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Najmuddin Fakhruddin. 2002-08-23. Torelli's theorem for high degree symmetric products of curves. https://arxiv.org/abs/math/0208180

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