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

Abstract

In this paper, 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; Theorems 2.1, 2.4 and 2.5, Corollaries 2.9 and 2.11.