Mather discrepancy as an embedding dimension in the space of arcs

DOI10.4171/PRIMS/54-1-4zbMath1406.14012OpenAlexW2592490364MaRDI QIDQ1707958

Hussein Mourtada, Ana J. Reguera-López

Publication date: 4 April 2018

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/54-1-4

zbMATH Keywords

embedding dimensionspace of arcsdivisorial valuationsstable pointMather discrepancy

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) Arcs and motivic integration (14E18)

Related Items (7)

Deformations of arcs and comparison of formal neighborhoods for a curve singularity ⋮ Arc spaces and wedge spaces for toric varieties ⋮ The minimal formal models of curve singularities ⋮ The minimal formal model of a curve singularity is zero-dimensional ⋮ Differentials on the arc space ⋮ Embedding codimension of the space of arcs ⋮ Finite formal model of toric singularities

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