On automorphism groups of smooth hypersurfaces
Algebraic Geometry
2025-01-30 v2
Abstract
We show that smooth hypersurfaces in complex projective spaces with automorphism groups of maximum size are isomorphic to Fermat hypersurfaces, with a few exceptions. For the exceptions, we give explicitly the defining equations and automorphism groups.
Cite
@article{arxiv.2405.09505,
title = {On automorphism groups of smooth hypersurfaces},
author = {Song Yang and Xun Yu and Zigang Zhu},
journal= {arXiv preprint arXiv:2405.09505},
year = {2025}
}
Comments
final form to appear in J. Algebraic Geom