The stratification by automorphism groups of smooth plane sextic curves
Algebraic Geometry
2022-08-29 v1
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.
Keywords
Cite
@article{arxiv.2208.12749,
title = {The stratification by automorphism groups of smooth plane sextic curves},
author = {Eslam Badr and Francesc Bars},
journal= {arXiv preprint arXiv:2208.12749},
year = {2022}
}
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34 pages