The Cartier core map for Cartier algebras

Brosowsky, Anna

doi:10.1016/j.jalgebra.2023.04.018

Journal of Algebra

2023

DOI: 10.1016/j.jalgebra.2023.04.018

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The Cartier core map for Cartier algebras

Anna Brosowsky

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2024

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On tame ramification and centers of F$F$‐purity

Carvajal‐Rojas,

Fayolle

2024

Journal of London Math Soc

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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 ramification for Dedekind domains and curves and sits nicely in between other notions of tame ramification in arithmetic geometry. However, when applied to the Frobenius map, it naturally yields the notion of center of ‐purity (aka compatibly ‐split subvariety). As an application, we describe the behavior of centers of ‐purity under finite covers — it all comes down to a transitivity property for tame ramification in towers.

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On tame ramification and centers of F$F$‐purity

Carvajal‐Rojas,

Fayolle

2024

Journal of London Math Soc

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The Cartier core map for Cartier algebras

Cited by 1 publication

References 22 publications

On tame ramification and centers of F$F$‐purity

On tame ramification and centers of F$F$‐purity

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