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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

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