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The Integral Closure of Modules, Buchsbaum–Rim Multiplicities and Newton Polyhedra
Author(s) -
Bivià-Ausina Carles
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610703005155
Subject(s) - polyhedron , multiplicity (mathematics) , closure (psychology) , mathematics , degenerate energy levels , pure mathematics , class (philosophy) , characterization (materials science) , extension (predicate logic) , mathematical analysis , geometry , physics , computer science , artificial intelligence , political science , optics , law , programming language , quantum mechanics
The integral closure and the Buchsbaum‐Rim multiplicity are computed of a wide class of submodules ofO n pthrough suitable Newton polyhedra. The result thus obtained is an extension to submodules ofO n pof the works of Yoshinaga and Saia on the characterization of Newton non‐degenerate functions and ideals, respectively.