Abundance theorem for threefolds in mixed characteristic

2021/11/17 by Fabio Bernasconi, Bernasconi, Fabio, Iacopo Brivio +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2111.08970

openalex publication_date 2021/11/17 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than five. As a consequence, we give a sufficient condition for the asymptotic invariance of plurigenera for certain families of singular surface pairs to hold in mixed characteristic.

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• Non-extendable MMPs

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