Nilpotency in arc scheme of plane curves

DOI10.1080/00927872.2016.1233187zbMath1376.14018OpenAlexW2528554043MaRDI QIDQ5274720

Julien Sebag, Kodjo Kpognon

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233187

zbMATH Keywords

curve singularityderivation modulejet and arc scheme

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Local complex singularities (32S05) Arcs and motivic integration (14E18)

Related Items (4)

Two algorithms for computing the general component of jet scheme and applications ⋮ The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory ⋮ Singular Support of a Vertex Algebra and the Arc Space of Its Associated Scheme ⋮ Unnamed Item

Uses Software

• SageMath

Cites Work

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• Examples of counting curves on surfaces
• A remark on Berger's conjecture, Kolchin's theorem, and arc schemes
• The computation of the logarithmic cohomology for plane curves
• Arcs schemes, derivations and Lipman's theorem
• Towards the singular locus of the space of arcs
• The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory
• Intégration motivique sur les schémas formels
• Greenberg Approximation and the Geometry of Arc Spaces
• The Multiplicity of Jet Schemes of a Simple Normal Crossing Divisor
• Free Derivation Modules on Algebraic Varieties
• Jet schemes of locally complete intersection canonical singularities.

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