THE DRINFELD–GRINBERG–KAZHDAN THEOREM IS FALSE FOR SINGULAR ARCS

DOI10.1017/S1474748015000341zbMath1401.14080OpenAlexW2606619972MaRDI QIDQ5369314

David Bourqui, Julien Sebag

Publication date: 16 October 2017

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748015000341

zbMATH Keywords

curve singularityarc scheme

Mathematics Subject Classification ID

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

Related Items (5)

On the nilpotent functions at a non-degenerate arc ⋮ The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory ⋮ The minimal formal models of curve singularities ⋮ Embedding codimension of the space of arcs ⋮ Arquile Varieties – Varieties Consisting of Power Series in a Single Variable

Uses Software

• SageMath

Cites Work

• Versal deformations of formal arcs
• Arc spaces and the Rogers-Ramanujan identities
• On the exponents of differential ideals
• Associative differential operations
• A Property of the Differential Ideal [ Y p ]
• Arcs, cords, and felts — six instances of the linearization principle
• Towards the singular locus of the space of arcs
• The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory
• The Grinberg–Kazhdan Formal Arc Theorem and the Newton Groupoids
• On the Structure of Differential Polynomials and on Their Theory of Ideals

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