Local cohomology of bigraded Rees algebras and normal Hilbert coefficients

DOI10.1016/j.jpaa.2013.10.008zbMath1286.13018arXiv1307.3431OpenAlexW2067336225MaRDI QIDQ392515

Shreedevi K. Masuti, Jugal Kishore Verma

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3431

zbMATH Keywords

integrally closed idealanalytically unramifiedextented Rees ring

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Hilbert polynomials of multigraded filtrations of ideals ⋮ Local cohomology of multi-Rees algebras with applications to joint reductions and complete ideals

Cites Work

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• Hilbert functions and symbolic powers
• On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras
• Reduction numbers and multiplicities of multigraded structures
• Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.
• Generalizations of Reductions and Mixed Multiplicities
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
• A note on the cohen-macaulayness of rees algebras of filtrations
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A Note on Analytically Unramified Local Rings

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