Polyèdre de Newton et genre géométrique d'une singularité intersection complète

DOI10.24033/bsmf.2008zbMath0564.32006OpenAlexW2584458890MaRDI QIDQ3677984

Marcel Morales

Publication date: 1984

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1984__112__325_0

zbMATH Keywords

resolution of singularitiesisolated complete intersection singularitytoroidal embeddingsNewton polyhedra

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (8)

Mixed Newton numbers and isolated complete intersection singularities ⋮ Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals ⋮ Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal m-primaire ⋮ Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres. (On the Hilbert-Samuel function of the integral closure of powers of ideals generated by a system of parameters) ⋮ Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds ⋮ Durfee-type bound for some non-degenerate complete intersection singularities ⋮ Unnamed Item ⋮ A \(p_ g\)-formula and elliptic singularities

Cites Work

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• On plurigenera of normal isolated singularities. I
• Integral closure of ideals and equisingularity
• Newton polyhedra and toroidal varieties
• Zeta-function of monodromy and Newton's diagram
• The number of integral points in integral polyhedra
• Newton polyhedra and the genus of complete intersections
• Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal m-primaire
• THE GEOMETRY OF TORIC VARIETIES
• Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.

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