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arXiv · 2301.07872

Automorphisms of weighted projective hypersurfaces

Louis Esser
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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.

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Louis Esser. 2023-01-19. Automorphisms of weighted projective hypersurfaces. https://arxiv.org/abs/2301.07872

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