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math.AG2026
Perfectoid Pure and Signature Pairs
Hanlin Cai, Anne Fayolle, Linquan Ma +4
We extend perfectoid purity and related invariants to divisor pairs in mixed characteristic. The resulting purity condition agrees with -purity of pairs in characteristic as…
math.AG2025★ 1 cited
Centers of perfectoid purity
Anne Fayolle
We introduce a mixed characteristic analog of log canonical centers in characteristic and centers of -purity in positive characteristic, which we call centers of perfectoid…
math.AG2023★ 1 cited
On tame ramification and centers of -purity
Javier Carvajal-Rojas, Anne Fayolle
We introduce a notion of tame ramification for general finite covers. When specialized to the separable case, it extends to higher dimensions the classical notion of tame ramificat…