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

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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.

Original languageEnglish
Article number2550048
JournalJournal of algebra and its applications (Print)
Volume24
Issue number2
DOIs
Publication statusPublished - 4 Oct 2023

Keywords

  • ES-irreducibility
  • Plane curves
  • automorphism groups

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