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A Generalized Torelli Theorem
Published online by Cambridge University Press: 20 November 2018
Abstract
Given a smooth projective curve $C$ of positive genus $g$, Torelli's theorem asserts that the pair $\left( J\left( C \right),\,{{W}^{g-1}} \right)$ determines $C$. We show that the theorem is true with ${{W}^{g-1}}$ replaced by ${{W}^{d}}$ for each $d$ in the range $1\,\le \,d\,\le \,g\,-\,1$.
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- Copyright © Canadian Mathematical Society 2003