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arXiv · 1903.08730

A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary

Christelle Vincent
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Abstract

In this article we consider a certain distinguished set $U(\Omega,m) \subseteq \{1,2,\ldots,2g+1,\infty\}$ that can be attached to a marked hyperelliptic curve of genus $g$ equipped with a small period matrix $\Omega$ for its polarized Jacobian. We show that as $\Omega$ and the marking $m$ vary, this set ranges over all possibilities prescribed by an argument of Poor.

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Christelle Vincent. 2019-03-20. A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary. https://arxiv.org/abs/1903.08730

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