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Pré-Publication, Document De Travail Année : 2003

Vanishing thetanulls and hyperelliptic curves

Olivier Schneider
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Résumé

Let $\mathcal{M}_{g,2}$ be the moduli space of curves of genus $g$ with a level-2 structure. We prove here that there is always a non hyperelliptic element in the intersection of four thetanull divisors in $\mathcal{M}_{6,2}$. We prove also that for all $g\geqslant3$, each component of the hyperelliptic locus in $\mathcal{M}_{g,2}$ is a connected component of the intersection of $g-2$ thetanull divisors.

Dates et versions

hal-00114881 , version 1 (18-11-2006)

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Olivier Schneider. Vanishing thetanulls and hyperelliptic curves. 2003. ⟨hal-00114881⟩
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