On conjectures of Itoh and of Lipman on the cohomology of normalized blow-ups

DOI10.1216/jca.2021.13.505OpenAlexW2238092963WikidataQ123277799 ScholiaQ123277799MaRDI QIDQ2074405

Manoj Kummini, Shreedevi K. Masuti

Publication date: 9 February 2022

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03343

zbMATH Keywords

cohomologyintegral closureadjointsblow-up algebras

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

On the structure of the Sally module and the second normal Hilbert coefficient ⋮ On the Vanishing of the normal Hilbert coefficients of ideals

Cites Work

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• Cohomology of coherent sheaves and series of supernatural bundles
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• Cohen-Macaulayness in graded algebras
• Bounds on the normal Hilbert coefficients
• Specialization and integral closure
• Betti numbers of graded modules and cohomology of vector bundles
• A note on the cohen-macaulayness of rees algebras of filtrations
• The Cohen-Macaulay symbolic Rees algebras for curve singularities

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