On the Lyubeznik numbers of a local ring

DOI10.1090/S0002-9939-00-05755-5zbMath0963.13013MaRDI QIDQ2706574

Uli Walther

Publication date: 20 March 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

regular local ringlocal cohomologyBass numberLyubeznik numbersHartshorne-Lichtenbaum vanishing theorem

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Regular local rings (13H05)

Related Items (24)

Characteristic cycles of local cohomology modules of monomial ideals. II ⋮ Lyubeznik Table of Sequentially Cohen–Macaulay Rings ⋮ Local Cohomology—An Invitation ⋮ On Lyubeznik type invariants ⋮ On the structure of \(S_2\)-ifications of complete local rings ⋮ Generalized Lyubeznik numbers ⋮ Certain endomorphism rings of local cohomology modules and Lyubeznik numbers ⋮ Frobenius methods in combinatorics ⋮ Lyubeznik numbers of projective schemes ⋮ Iterated local cohomology groups and Lyubeznik numbers for determinantal rings ⋮ Lyubeznik numbers and injective dimension in mixed characteristic ⋮ Local cohomology and Lyubeznik numbers of \(F\)-pure rings ⋮ Computing the support of local cohomology modules ⋮ Lyubeznik tables of linked ideals ⋮ Lyubeznik numbers for nonsingular projective varieties ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Cohomological dimension, Lyubeznik numbers, and connectedness in mixed characteristic ⋮ On some local cohomology invariants of local rings ⋮ On finiteness properties of local cohomology modules over Cohen-Macaulay local rings ⋮ Some numerical invariants of local rings ⋮ Lyubeznik numbers of irreducible projective varieties depend on the embedding ⋮ LYUBEZNIK NUMBERS OF LOCAL RINGS AND LINEAR STRANDS OF GRADED IDEALS ⋮ Connectedness and Lyubeznik Numbers ⋮ Connectedness of square-free Groebner deformations

Cites Work

• Unnamed Item
• On the vanishing of local cohomology modules
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Characteristic cycles of local cohomology modules of monomial ideals
• Cohomological dimension of algebraic varieties
• Bass numbers of local cohomology modules with supports in monomial ideals

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