Automorphisms of weighted projective hypersurfaces

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Abstract

We prove several results concerning automorphism groups of quasismooth complex weighted projective hypersurfaces; these generalize and strengthen existing results for hypersurfaces in ordinary projective space. First, we prove in most cases that automorphisms extend to the ambient weighted projective space. We next provide a characterization of when the linear automorphism group is finite and find an explicit uniform upper bound on the size of this group. Finally, we describe the automorphisms of a generic quasismooth hypersurface with given weights and degree.

Original languageEnglish (US)
Article number107628
JournalJournal of Pure and Applied Algebra
Volume228
Issue number6
DOIs
StatePublished - Jun 2024

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Automorphism groups
  • Jordan constants
  • Weighted hypersurfaces

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