A prime-characteristic analogue of a theorem of Hartshorne-Polini

DOI10.1016/j.jpaa.2020.106386zbMath1465.13007arXiv1905.12584OpenAlexW3015381206MaRDI QIDQ2176094

Wenliang Zhang, Nicholas Switala

Publication date: 4 May 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12584

zbMATH Keywords

local cohomologyMatlis dualityFrobenius modulesF-modules

Mathematics Subject Classification ID

Graded rings (13A02) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

• Unnamed Item
• Local cohomological dimension in characteristic p
• Duality and de Rham cohomology for graded \(\mathcal{D}\)-modules
• Bass Numbers of Local Cohomology Modules
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero
• $D$-module and $F$-module length of local cohomology modules
• On injective dimension of F‐finite F‐modules and holonomic D‐modules
• Characterizations of Regular Local Rings of Characteristic p

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