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arXiv · 2208.12749

The stratification by automorphism groups of smooth plane sextic curves

Eslam Badr·Francesc Bars
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Abstract

We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family over K describing its corresponding stratum, that is, a generic defining polynomial equation with parameters such that any curve in the stratum is K-isomorphic to a non-singular plane model obtained by specializing the values of those parameters over K.

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Eslam Badr, Francesc Bars. 2022-08-26. The stratification by automorphism groups of smooth plane sextic curves. https://arxiv.org/abs/2208.12749

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