The category of \(F\)-modules has finite global dimension

DOI10.1016/j.jalgebra.2013.12.008zbMath1307.13019arXiv1210.8387OpenAlexW2963122440MaRDI QIDQ2253030

Linquan Ma

Publication date: 25 July 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.8387

zbMATH Keywords

F -modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05)

Related Items (6)

Duality and de Rham cohomology for graded \(\mathcal{D}\)-modules ⋮ Local cohomology modules supported at determinantal ideals ⋮ A remark on the category of graded 𝐹-modules ⋮ The mod-\(p\) Riemann-Hilbert correspondence and the perfect site ⋮ Frobenius line invariance of algebraic 𝐾-theory ⋮ $D$-module and $F$-module length of local cohomology modules

Cites Work

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• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Cartier modules: Finiteness results
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• Characterizations of Regular Local Rings of Characteristic p

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