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Automorphisms of weighted projective hypersurfaces
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Automorphisms of weighted projective hypersurfaces
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Paper
Automorphisms of weighted projective hypersurfaces
2024
Overview
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.
Publisher
Cornell University Library, arXiv.org
Subject
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