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

DOI10.1112/S0024610703005155zbMath1054.32015OpenAlexW2156846158MaRDI QIDQ4819187

Carles Bivià-Ausina

Publication date: 24 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610703005155

zbMATH Keywords

Newton polyhedronBuchsbaum-Rim multiplicityintegral closure of a module

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Local complex singularities (32S05)

Related Items (11)

Submodules of minimal Buchsbaum-Rim multiplicity and applications ⋮ Canonical complexes associated to a matrix ⋮ Mixed Newton numbers and isolated complete intersection singularities ⋮ A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules ⋮ Determinantal singularities and Newton polyhedra ⋮ ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES ⋮ A formula for the associated Buchsbaum–Rim multiplicities of a direct sum of cyclic modules II ⋮ Durfee-type bound for some non-degenerate complete intersection singularities ⋮ The sequence of mixed Łojasiewicz exponents associated to pairs of monomial ideals ⋮ Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals ⋮ Lech’s inequality for the Buchsbaum-Rim multiplicity and mixed multiplicity

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