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THE INTEGRAL CLOSURE OF MODULES, BUCHSBAUM–RIM MULTIPLICITIES AND NEWTON POLYHEDRA

Published online by Cambridge University Press:  29 March 2004

CARLES BIVIÀ-AUSINA
CARLES BIVIÀ-AUSINA
Affiliation:
Departament de Matemàtica Aplicada, Universitat Politècnica de València, Escola Politècnica Superior d'Alcoi, Plaça Ferrándiz i Carbonell 2, 03801 Alcoi (Alacant), [email protected]
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Abstract

The integral closure and the Buchsbaum-Rim multiplicity are computed of a wide class of submodules of $\mathcal O_n^p$ through suitable Newton polyhedra. The result thus obtained is an extension to submodules of $\O^p$ of the works of Yoshinaga and Saia on the characterization of Newton non-degenerate functions and ideals, respectively.

Keywords

32S05 (primary)58A20 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 2 , April 2004 , pp. 407 - 427
Copyright
The London Mathematical Society 2004

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Footnotes

This work was supported by DGICYT grant BFM2000–1110.