Mather discrepancy and the arc spaces

DOI10.5802/aif.2756zbMath1360.14048arXiv1106.0345OpenAlexW2964220737MaRDI QIDQ1955957

Shihoko Ishii

Publication date: 19 June 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0345

zbMATH Keywords

singularitiesarc spaceminimal log-discrepancy

Mathematics Subject Classification ID

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

Related Items (11)

Finite determination conjecture for Mather-Jacobian minimal log discrepancies and its applications ⋮ Corrigendum to “Mather discrepancy and the arc spaces” ⋮ Coordinates at stable points of the space of arcs ⋮ Arc spaces and wedge spaces for toric varieties ⋮ Mather–Jacobian singularities under generic linkage ⋮ Multiplicity and invariants in birational geometry ⋮ A strongly geometric general residual intersection ⋮ Geometric nullstellensatz and symbolic powers on arbitrary varieties ⋮ Differentials on the arc space ⋮ Embedding codimension of the space of arcs ⋮ Finite formal model of toric singularities

Cites Work

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• On a comparison of minimal log discrepancies in terms of motivic integration
• Jet schemes, arc spaces and the Nash problem
• Inversion of adjunction for local complete intersection varieties
• Contact loci in arc spaces

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