A note on joint reductions and mixed multiplicities

DOI10.1090/S0002-9939-2014-11916-2zbMath1304.13043arXiv1110.6239OpenAlexW2002119320MaRDI QIDQ5418505

Le van Dinh, Truong Thi Hong Thanh, Duong Quoc Viet

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6239

zbMATH Keywords

multiplicitymixed multiplicityjoint reduction(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 ⋮ A remark on regularity of solutions to wave equations ⋮ Toward mixed multiplicities and joint reductions ⋮ Mixed Multiplicities of Maximal Degrees (J. Korean Math. Soc. 55 (2018), No. 3, 605-622) ⋮ Mixed multiplicities and the multiplicity of Rees modules of reductions ⋮ The Euler–Poincaré characteristic of joint reductions and mixed multiplicities

Cites Work

• On (FC)-sequences and mixed multiplicities of multi-graded algebras
• Codimension and multiplicity
• Mixed multiplicities and the minimal number of generator of modules
• On two theorems concerning reductions in local rings
• Extended Rees algebras and mixed multiplicities
• Multigraded Rees algebras and mixed multiplicities
• Reduction numbers and multiplicities of multigraded structures
• Mixed multiplicities of modules over noetherian local rings
• On some properties of (fc)-sequences of ideals in local rings
• Reductions and Mixed Multiplicities of Ideals
• Local Chern classes, multiplicities, and perfect complexes
• Mixed Multiplicities, Joint Reductions and Quasi-Unmixed Local Rings
• On Two Results of Mixed Multiplicities
• Generalizations of Reductions and Mixed Multiplicities
• Sequences Determining Mixed Multiplicities and Reductions of Ideals
• Mixed multiplicities of arbitrary ideals in local rings
• Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity
• Mixed multiplicities of multigraded modules
• Mixed multiplicities of ideals versus mixed volumes of polytopes
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