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arXiv · 2405.11666

Hypersurfaces with large automorphism groups

Louis Esser·Jennifer Li
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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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Louis Esser, Jennifer Li. 2024-05-19. Hypersurfaces with large automorphism groups. https://arxiv.org/abs/2405.11666

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