Hypersurfaces with large automorphism groups

Esser, Louis; Li, Jennifer

doi:10.1090/tran/9383

Hypersurfaces with large automorphism groups
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by Louis Esser and Jennifer Li;

Trans. Amer. Math. Soc. 378 (2025), 3667-3698

DOI: https://doi.org/10.1090/tran/9383

Published electronically: January 22, 2025

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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
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Abstract: