On fake ES-irreducibile components of certain strata of smooth plane sextics

Abstract

We construct the first examples of what we call fake ES-irreducible components; Definition 2.8. In our way to do so, we classify the automorphism groups of smooth plane sextics that only have automorphisms of order 3 or less; Theorems 2.1, 2.4 and 2.5, Corollaries 2.9 and 2.11.

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