Sequences Determining Mixed Multiplicities and Reductions of Ideals

DOI10.1081/AGB-120023147zbMath1089.13006OpenAlexW2095555728MaRDI QIDQ4428232

Duong Quoc Viet

Publication date: 14 September 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120023147

zbMATH Keywords

mixed multiplicities(FC)-sequencereduction of ideal

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (12)

ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES ⋮ On filter-regular sequences of multi-graded modules ⋮ Reductions and Mixed Multiplicities of Ideals ⋮ Mixed multiplicities of modules over noetherian local rings ⋮ On some multiplicity and mixed multiplicity formulas ⋮ Toward mixed multiplicities and joint reductions ⋮ On the Cohen-Macaulayness of fiber cones ⋮ A note on joint reductions and mixed multiplicities ⋮ Mixed Multiplicities of Maximal Degrees (J. Korean Math. Soc. 55 (2018), No. 3, 605-622) ⋮ On the mixed multiplicities of multi-graded fiber cones ⋮ Mixed multiplicities and the multiplicity of Rees modules of reductions ⋮ The Euler–Poincaré characteristic of joint reductions and mixed multiplicities

Cites Work

• Codimension and multiplicity
• Extended Rees algebras and mixed multiplicities
• Reduction numbers and multiplicities of multigraded structures
• Mixed Multiplicities, Joint Reductions and Quasi-Unmixed Local Rings
• Generalizations of Reductions and Mixed Multiplicities
• On a Theorem of B. Teissier on Multiplicities of Ideals in Local Rings
• On the multiplicity of blow-ups associated to almost complete intersection space curves
• Mixed multiplicities of arbitrary ideals in local rings

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