Some numerical invariants of local rings

DOI10.1090/S0002-9939-03-07177-6zbMath1060.13006OpenAlexW1489902592MaRDI QIDQ4452186

Josep Àlvarez Montaner

Publication date: 12 February 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07177-6

zbMATH Keywords

cohomologyformal power series ringmultiplicities\(D\)-modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Commutative rings of differential operators and their modules (13N10) Formal power series rings (13F25)

Related Items

Characteristic cycles of local cohomology modules of monomial ideals. II ⋮ Generalized Lyubeznik numbers ⋮ Local cohomology and Lyubeznik numbers of \(F\)-pure rings ⋮ Lyubeznik numbers of monomial ideals ⋮ Bass numbers of local cohomology of cover ideals of graphs ⋮ Properties of Lyubeznik numbers under localization and polarization

Cites Work

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• Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Characteristic cycles of local cohomology modules of monomial ideals
• Topological computation of local cohomology multiplicities
• Local cohomology, arrangements of subspaces and monomial ideals.
• On the Lyubeznik numbers of a local ring
• Bass numbers of local cohomology modules with supports in monomial ideals
• On the highest Lyubeznik number

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