First vertices for hyperelliptic curves in characteristic two

Régis Blache

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arXiv · 1502.02624

First vertices for hyperelliptic curves in characteristic two

Régis Blache

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Abstract

We study the Newton polygons of numerators of the zeta functions of $2$-rank $0$ hyperelliptic curves in characteristic $2$. We determine their first generic vertex, and their first vertex in some other non generic cases.

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Régis Blache. 2015-02-09. First vertices for hyperelliptic curves in characteristic two. https://arxiv.org/abs/1502.02624

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