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Journal of the London Mathematical Society (1)

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THE INTEGRAL CLOSURE OF MODULES, BUCHSBAUM–RIM MULTIPLICITIES AND NEWTON POLYHEDRA
CARLES BIVIÀ-AUSINA
Journal:

Journal of the London Mathematical Society / Volume 69 / Issue 2 / April 2004

Published online by Cambridge University Press:

29 March 2004, pp. 407-427

Print publication:

April 2004
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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.