Back to Algebraic Geometry Seminar: Fall 2022
Algebraic Geometry Seminar
Date: Wednesday, Oct 19, 2022
Time: 3:30PM - 4:30PM
Location: LCB 323
Lena Ji
University of Michigan
Title |
Fano hypersurfaces with no finite order birational automorphisms via the AG Preprint seminar . |
Abstract |
We show that a very general n-dimensional complex hypersurface X of degree ≥ 5⌈(n+3)/6⌉ has no finite order birational automorphisms. In particular, this applies to higher index Fano hypersurfaces (of sufficiently high dimension). We prove this result by studying the specialization homomorphism for the birational automorphism group. This work is joint with Nathan Chen and David Stapleton. |
Algebraic Geometry