Characteristic polyhedra of singularities without completion

DOI10.1007/s00208-014-1064-0zbMath1308.14008arXiv1203.2484OpenAlexW2076700726MaRDI QIDQ2255274

Olivier Piltant, Vincent Cossart

Publication date: 9 February 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2484

zbMATH Keywords

Hironakacharacteristic polyhedron of a singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45)

Related Items (6)

Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope ⋮ A strictly decreasing invariant for resolution of singularities in dimension two ⋮ Resolution of singularities of arithmetical threefolds ⋮ Idealistic exponents: tangent cone, ridge, characteristic polyhedra ⋮ Characteristic polyhedra of singularities without completion. II ⋮ Invariance of Hironaka's characteristic polyhedron

Cites Work

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• Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz
• Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
• Resolution of singularities of threefolds in positive characteristic. II
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Characteristic polyhedra of singularities
• Sur le polyèdre caractéristique d'une singularité

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