Cohomologically Full Rings

DOI10.1093/imrn/rnz203OpenAlexW2982528345WikidataQ121464752 ScholiaQ121464752MaRDI QIDQ5066827

Alessandro De Stefani, Hailong Dao, Linquan Ma

Publication date: 30 March 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00536

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings (13A02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

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Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension ⋮ Lyubeznik numbers of almost complete intersection and linked ideals ⋮ On asymptotic vanishing behavior of local cohomology ⋮ Vanishing of local cohomology and set-theoretically Cohen-Macaulay ideals ⋮ Fiber-full modules and a local freeness criterion for local cohomology modules ⋮ Purity of monoids and characteristic-free splittings in semigroup rings ⋮ Gröbner deformations and F‐singularities ⋮ On Rees algebras of 2‐determinantal ideals ⋮ Frobenius methods in combinatorics

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