The minimal formal models of curve singularities

DOI10.1142/S0129167X17500811zbMath1400.14044OpenAlexW2750767218MaRDI QIDQ4595308

David Bourqui, Julien Sebag

Publication date: 29 November 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x17500811

zbMATH Keywords

formal neighborhoodcurve singularityarc scheme

Mathematics Subject Classification ID

Local complex singularities (32S05) Arcs and motivic integration (14E18) Formal neighborhoods in algebraic geometry (14B20)

Related Items

On the nilpotent functions at a non-degenerate arc, The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory, Deformations of arcs and comparison of formal neighborhoods for a curve singularity, The minimal formal model of a curve singularity is zero-dimensional, Finite formal model of toric singularities, Arquile Varieties – Varieties Consisting of Power Series in a Single Variable

Uses Software

• SageMath

Cites Work

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• Versal deformations of formal arcs
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• DEFORMATIONS OF DIFFERENTIAL ARCS
• The Grinberg–Kazhdan Formal Arc Theorem and the Newton Groupoids
• THE DRINFELD–GRINBERG–KAZHDAN THEOREM IS FALSE FOR SINGULAR ARCS