HYPERSURFACES WITH LARGE AUTOMORPHISM GROUPS

Louis Esser; Jennifer Li

doi:10.1090/tran/9383

HYPERSURFACES WITH LARGE AUTOMORPHISM GROUPS

Louis Esser, Jennifer Li

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We find sharp upper bounds on the order of the automorphism group of a hypersurface in complex projective space in every dimension and degree. In each case, we prove that the hypersurface realizing the upper bound is unique up to isomorphism and provide explicit generators for the automorphism group.

Original language	English (US)
Pages (from-to)	3667-3698
Number of pages	32
Journal	Transactions of the American Mathematical Society
Volume	378
Issue number	5
DOIs	https://doi.org/10.1090/tran/9383
State	Published - May 2025

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "HYPERSURFACES WITH LARGE AUTOMORPHISM GROUPS",

abstract = "We find sharp upper bounds on the order of the automorphism group of a hypersurface in complex projective space in every dimension and degree. In each case, we prove that the hypersurface realizing the upper bound is unique up to isomorphism and provide explicit generators for the automorphism group.",

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HYPERSURFACES WITH LARGE AUTOMORPHISM GROUPS

Abstract

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