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Average size of the automorphism group of smooth projective hypersurfaces 

Vlad Matei, University of California, Irvine
Tuesday, November 5, 2019 - 11:00am to 11:50am
PDL C-401

We show that the average size of the automorphism group over F_q of a smooth degree d hypersurface in P^n_{F_q} is equal to 1  as d tends to infinity. We also discuss some consequences of this result for the moduli space of smooth degree d hypersurfaces in P^n.

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