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math.GN2025
Flimsy Spaces
Robin Khanfir, Béranger Seguin
We study -flimsy spaces, which are the topological spaces that remain connected when removing fewer than points but become disconnected when removing exactly points. We…
math.AG2025
On matrices commuting with their Frobenius
Fabian Gundlach, Béranger Seguin
The Frobenius of a matrix with coefficients in is the matrix obtained by raising each coefficient to the -th power. We consider the question of co…
math.NT2025
Counting two-step nilpotent wildly ramified extensions of function fields
Fabian Gundlach, Béranger Seguin
We study the asymptotic distribution of wildly ramified extensions of function fields in characteristic , focusing on (certain) -groups of nilpotency class at most . R…