Hypersurfaces with large automorphism groups
Algebraic Geometry
2024-11-28 v2
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.
Cite
@article{arxiv.2405.11666,
title = {Hypersurfaces with large automorphism groups},
author = {Louis Esser and Jennifer Li},
journal= {arXiv preprint arXiv:2405.11666},
year = {2024}
}
Comments
34 pages, 2 tables. v2: final version, to appear in Transactions of the American Mathematical Society