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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209 - Number Theory
Vlad Matei
UC Irvine
Average size of the automorphism group of smooth projective hypersurfaces over finite fields
Abstract:
We show that the average size of the automorphism group over $\mathbb{F}_q$ of a smooth degree $d$ hypersurface in $\mathbb{P}^{n}_{\mathbb{F}_q}$ is equal to $1$ as $d\rightarrow \infty$. We also discuss some consequences of this result for the moduli space of smooth degree $d$ hypersurfaces in $\mathbb{P}^n$.
Host: Kiran Kedlaya
November 21, 2019
1:00 PM
AP&M 7321
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