Rees algebras and generalized depth‐like conditions in prime characteristic

DOI10.1002/mana.202200549arXiv2212.11374MaRDI QIDQ6196788

Alessandra Costantini, Lance Edward Miller, Kyle Maddox

Publication date: 15 March 2024

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

Full work available at URL: https://arxiv.org/abs/2212.11374

zbMATH Keywords

depthRees algebra\(F\)-nilpotent

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

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• Nilpotence of Frobenius action and the Hodge filtration on local cohomology
• \(F\)-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic \(p>0\)
• Local cohomology multiplicities in terms of étale cohomology
• Tight closure test exponents for certain parameter ideals
• The Frobenius structure of local cohomology
• On the associated graded ring of an ideal
• Local cohomological dimension in characteristic p
• On the uniform bound of Frobenius test exponents
• Homological properties of pinched Veronese rings
• \(F\)-rationality of Rees algebras
• Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals
• Cartier modules: Finiteness results
• On the vanishing of local cohomology in characteristic p > 0
• When is the rees algebra cohen—macaulay?
• Depth formulas for certain graded rings associated to an ideal
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• A sufficient condition for the finiteness of Frobenius test exponents
• F-rationality of Rees algebras
• Rees algebras of F-regular type.

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