Eslam Badr, Francesc Bars
Published 2022-08-26Version 1
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.
Projective plane curves whose automorphism groups are simple and primitive
On fake ES-irreducibile components of certain strata of smooth plane sextics
A stratification of Hilbert schemes via generic initial ideals
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