Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.

DOI10.1016/S0021-8693(02)00101-1zbMath1094.13504arXivmath/0206192OpenAlexW2007972358MaRDI QIDQ1858152

A. V. Jayanthan, Jugal Kishore Verma

Publication date: 12 February 2003

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

Full work available at URL: https://arxiv.org/abs/math/0206192

zbMATH Keywords

mixed multiplicitiesjoint reductioncomplete reductionRatliff--Rush closure

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Cohen-Macaulay multigraded modules ⋮ Local cohomology of bigraded Rees algebras and normal Hilbert coefficients ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ Mixed multiplicities and projective degrees of rational maps ⋮ Asymptotic depth of ext modules over complete intersection rings ⋮ Castelnuovo Mumford regularity with respect to multigraded ideals ⋮ Hilbert polynomials of multigraded filtrations of ideals ⋮ Local cohomology of multi-Rees algebras with applications to joint reductions and complete ideals

Uses Software

• Macaulay2

Cites Work

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