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比利时vs摩洛哥足彩 ,
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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