On F-pure inversion of adjunction

2023/05/27 by Thomas Polstra, Polstra, Thomas, Austyn Simpson +3 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2305.17591

Abstract

We analyze adjunction and inversion of adjunction for the F-purity of divisor pairs in characteristic p > 0. In this vein, we give a complete answer for principal divisors under ℚ-Gorenstein assumptions but without divisibility restrictions on the index. We also give a detailed analysis relating the F-purity of the pairs (R,Δ+ D) and that of (R_D, Diff_D(Δ)) motivated by Kawakita's log canonical inversion of adjunction via reduction to prime characteristic.

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