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arXiv · 1710.01058

A bound on the genus of a curve with Cartier operator of small rank

Zijian Zhou
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Abstract

Ekedahl showed that the genus of a curve in characteristic $p>0$ with zero Cartier operator is bounded by $p(p-1)/2$. We show the bound $p+p(p-1)/2$ in case the rank of the Cartier operator is 1, improving a result of Re.

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Zijian Zhou. 2017-10-03. A bound on the genus of a curve with Cartier operator of small rank. https://arxiv.org/abs/1710.01058

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