On Mixed Multiplicities of Good Filtrations

DOI10.1142/S1005386715000371zbMath1353.13028OpenAlexW2257682008MaRDI QIDQ2949736

Duong Quoc Viet, Le van Dinh

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1142/s1005386715000371

zbMATH Keywords

filtrationmixed multiplicitysuperficial sequence(FC)-sequence

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (6)

ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES ⋮ Toward mixed multiplicities and joint reductions ⋮ Mixed Multiplicities of Maximal Degrees (J. Korean Math. Soc. 55 (2018), No. 3, 605-622) ⋮ On (FC)-sequences and mixed multiplicities of multi-graded algebras ⋮ Mixed multiplicities and the multiplicity of Rees modules of reductions ⋮ The Euler–Poincaré characteristic of joint reductions and mixed multiplicities

Cites Work

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• Reductions and Mixed Multiplicities of Ideals
• Generalizations of Reductions and Mixed Multiplicities
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Mixed multiplicities of arbitrary ideals in local rings
• Mixed multiplicities of ideals versus mixed volumes of polytopes
• A NOTE ON SUPERFICIAL ELEMENTS OF AN IDEAL IN A LOCAL RING
• A Note on Analytically Unramified Local Rings

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