Quentin Posva

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math.AG2026

Local stability of Frobenius and Artin--Schreier base-change: a comparison

Quentin Posva

Let $(X, Δ) \to C$ be a family of pairs over a smooth curve in positive characteristic $p > 0$ . We study the discrepancies of divisors over the base-change $(X, Δ) \to C$ along Artin--Sc…

math.AG2026

Base-change of locally stable families in positive characteristic

Marta Benozzo, Quentin Posva

We investigate the permanence of local stability for one-parameter families $X \to C$ under finite flat base-changes, when the base-field has positive characteristic $p > 0$ . Building…

math.AG2023

Normality of minimal log canonical centers of threefolds in mixed and positive characteristic

Emelie Arvidsson, Quentin Posva

We prove the normality of minimal log canonical centers on threefold pairs which residue fields are perfect of residue characteristics $p \neq = 2, 3$ and $5$ . We also show that the u…