The Frobenius homomorphism, and local cohomology in regular local rings of positive characteristic

DOI10.1016/0022-4049(91)90154-TzbMath0736.13008OpenAlexW2069365163MaRDI QIDQ1175536

Rodney Y. Sharp

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90154-t

zbMATH Keywords

local cohomologyregular ringsFrobenius

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Regular local rings (13H05)

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Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)

Cites Work

• Local cohomological dimension of algebraic varieties
• Local cohomological dimension in characteristic p
• Cohomological dimension of algebraic varieties
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Modules With Descending Chain Condition
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Characterizations of Regular Local Rings of Characteristic p
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA