The variety defined by the matrix of diagonals is \(F\)-pure

DOI10.1007/978-3-030-91986-3_14zbMath1496.13007arXiv1902.02563OpenAlexW2914493840MaRDI QIDQ2080075

Zhibek Kadyrsizova

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/1902.02563

zbMATH Keywords

singularitiesFrobeniussystem of parametersF-purity

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complete intersections (14M10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Cohen-Macaulay modules (13C14)

Uses Software

• Macaulay2

Cites Work

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• On matrix pairs with diagonal commutators
• The purity of the Frobenius and local cohomology
• Nearly commuting matrices
• F-Purity and Rational Singularity
• F-Purity and Rational Singularity in Graded Complete Intersection Rings

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