Jet schemes of complex plane branches and equisingularity

DOI10.5802/aif.2675zbMath1247.14011arXiv1009.5845OpenAlexW2129077395MaRDI QIDQ424839

Hussein Mourtada

Publication date: 6 June 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5845

zbMATH Keywords

jet schemessingularities of plane curves

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Arcs and motivic integration (14E18)

Related Items

Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ Combinatorial differential algebra of \(x^p\) ⋮ Resolving singularities of curves with one toric morphism ⋮ Arc spaces and the Rogers-Ramanujan identities ⋮ Jet schemes and minimal embedded desingularization of plane branches ⋮ The embedded Nash problem of birational models of rational triple singularities ⋮ Jet schemes of normal toric surfaces ⋮ Looking for a new version of Gordon's identities ⋮ Jet schemes of toric surfaces ⋮ Jet schemes and minimal toric embedded resolutions of rational double point singularities ⋮ The motivic Igusa zeta function of a space monomial curve with a plane semigroup ⋮ JET SCHEMES OF QUASI-ORDINARY SURFACE SINGULARITIES ⋮ Note on the monodromy conjecture for a space monomial curve with a plane semigroup

Cites Work

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• Invariants polaires des courbes planes
• Irreducibility criterion for germs of analytic functions of two complex variables
• Arc structure of singularities
• Valuations in Function Fields of Surfaces
• On the approximate roots of polynomials
• Contact loci in arc spaces
• Pinceaux de courbes planes et invariants polaires
• Arcs and wedges on sandwiched surface singularities
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
• Jet schemes of locally complete intersection canonical singularities.