Local uniformization and arc spaces

DOI10.1016/j.jpaa.2017.08.012zbMath1423.13039OpenAlexW2565346931MaRDI QIDQ1703600

Olivier Piltant, Ana J. Reguera-López

Publication date: 2 March 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.08.012

zbMATH Keywords

arc spaceslocal uniformization

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Valuations and their generalizations for commutative rings (13A18) Local rings and semilocal rings (13H99)

Related Items

Small irreducible components of arc spaces in positive characteristic

Cites Work

• Every place admits local uniformization in a finite extension of the function field
• Resolution of singularities of threefolds in positive characteristic. II
• Smoothness, semi-stability and alterations
• The Nash problem on arc families of singularities
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Towards the singular locus of the space of arcs
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