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# A Generalized Torelli Theorem

Published:2003-04-01
Printed: Apr 2003
• Ajneet Dhillon
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## Abstract

Given a smooth projective curve $C$ of positive genus $g$, Torelli's theorem asserts that the pair $\bigl( J(C),W^{g-1} \bigr)$ determines $C$. We show that the theorem is true with $W^{g-1}$ replaced by $W^d$ for each $d$ in the range $1\le d\le g-1$.
 MSC Classifications: 14H99 - None of the above, but in this section