Submodules of minimal Buchsbaum-Rim multiplicity and applications

DOI10.1007/s00229-009-0266-3zbMath1172.13012OpenAlexW2168318707MaRDI QIDQ833079

Carles Bivià-Ausina

Publication date: 11 August 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0266-3

zbMATH Keywords

multiplicitylocal ringsintegral closurecomplete intersection singularity

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Local complex singularities (32S05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Indices of 1-forms and Newton polyhedra
• Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals
• Integral closure of modules and Whitney equisingularity
• On the integral closure of ideals
• Multiplicities and equisingularity of ICIS germs
• Generalizations of Reductions and Mixed Multiplicities
• Reduction of modules
• THE INTEGRAL CLOSURE OF MODULES, BUCHSBAUM–RIM MULTIPLICITIES AND NEWTON POLYHEDRA
• Reduction criteria for modules
• Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity
• Mixed Buchsbaum-Rim Multiplicities
• Mixed Newton numbers and isolated complete intersection singularities
• A Generalized Koszul Complex. II. Depth and Multiplicity