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math.AT2024
Counting Components of Hurwitz Spaces
Béranger Seguin
For a finite group , we obtain asymptotics for the number of connected components of Hurwitz spaces of marked -covers (of both the affine and projective lines) whose monodrom…
math.AC2024
Symmetries of various sets of polynomials
Béranger Seguin
Let be a field of characteristic , and let be an integer. We prove that every -linear bijection strongly preserving the set of -fre…
math.NT2024
Asymptotics of extensions of simple -algebras
Fabian Gundlach, Béranger Seguin
We answer various questions concerning the distribution of extensions of a given central simple algebra over a number field. Specifically, we give asymptotics for the count of…