Mixed multiplicities and the multiplicity of Rees modules of reductions

DOI10.1142/S0219498819501767zbMath1443.13022arXiv1906.00406OpenAlexW2889691382MaRDI QIDQ5231723

Duong Quoc Viet, Truong Thi Hong Thanh

Publication date: 27 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00406

zbMATH Keywords

multiplicitymixed multiplicitygood filtrationRees ring

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 (4)

ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES ⋮ Is there an infinite field whose multiplicative group is indecomposable? ⋮ Toward mixed multiplicities and joint reductions ⋮ The Euler–Poincaré characteristic of joint reductions and mixed multiplicities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On filter-regular sequences of multi-graded modules
• A note on formulas transmuting mixed multiplicities
• On (FC)-sequences and mixed multiplicities of multi-graded algebras
• 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 Mixed Multiplicities of Good Filtrations
• MULTIPLICITY AND COHEN-MACAULAYNESS OF FIBER CONES OF GOOD FILTRATIONS
• On some properties of (fc)-sequences of ideals in local rings
• Reductions and Mixed Multiplicities of Ideals
• On some multiplicity and mixed multiplicity formulas
• Mixed Multiplicities, Joint Reductions and Quasi-Unmixed Local Rings
• Generalizations of Reductions and Mixed Multiplicities
• Hilbert Coefficients and the Depths of Associated Graded Rings
• 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
• ON THE MULTIPLICITY OF REES ALGEBRAS OF GOOD FILTRATIONS
• Mixed multiplicities of multigraded modules
• A note on joint reductions and mixed multiplicities
• A Note on Analytically Unramified Local Rings

This page was built for publication: Mixed multiplicities and the multiplicity of Rees modules of reductions