Fiber-full modules and a local freeness criterion for local cohomology modules

DOI10.1007/s00209-022-03190-6OpenAlexW4313481845MaRDI QIDQ2678945

Yairon Cid-Ruiz

Publication date: 18 January 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07777

zbMATH Keywords

square-freefreenesslocal cohomologybase changelocal dualityGröbner degenerationext modulefiber-full module

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

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• Square-free Gröbner degenerations
• Compactifying the Picard scheme
• The purity of the Frobenius and local cohomology
• Local cohomology and base change
• Powers of ideals and the cohomology of stalks and fibers of morphisms
• \(N\)-fiber-full modules
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Generic freeness of local cohomology and graded specialization
• Cohomologically Full Rings
• Deformations of log canonical and $F$-pure singularities
• Recent Developments in Commutative Algebra
• Maps between local Picard groups

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