Deformations of arcs and comparison of formal neighborhoods for a curve singularity

DOI10.1017/fms.2023.24zbMath1518.14017OpenAlexW4292222506MaRDI QIDQ6043385

Mario Morán Cañón, David Bourqui

Publication date: 5 May 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/fms.2023.24

Mathematics Subject Classification ID

Singularities of curves, local rings (14H20) Arcs and motivic integration (14E18) Formal neighborhoods in algebraic geometry (14B20)

Cites Work

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• Versal deformations of formal arcs
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• Jacobian discrepancies and rational singularities
• On the formal arc space of a reductive monoid
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• The minimal formal models of curve singularities
• Contact loci in arc spaces
• Non-complete Completions
• The Local Structure of Arc Schemes
• Smooth arcs on algebraic varieties
• Exceptional divisors that are not uniruled belong to the image of the Nash map
• Arcs, valuations and the Nash map

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