Coordinates at stable points of the space of arcs
DOI10.1016/j.jalgebra.2017.09.031zbMath1388.13001OpenAlexW2761006692MaRDI QIDQ1680273
Publication date: 15 November 2017
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.09.031
Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Graded rings (13A02) Valuations and their generalizations for commutative rings (13A18) Local complex singularities (32S05) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)
Related Items (4)
Cites Work
- Approximate roots of a valuation and the Pierce-Birkhoff conjecture
- Divisorial valuations via arcs
- Germs of arcs on singular algebraic varieties and motivic integration
- Image of the Nash map in terms of wedges.
- The Nash problem on arc families of singularities
- Minimal generating system, essential divisors and \(G\)-desingularisation of toric varieties
- Mather discrepancy and the arc spaces
- Jacobian discrepancies and rational singularities
- Anneaux locaux henséliens
- Singularities with respect to Mather-Jacobian discrepancies
- Valuations in Function Fields of Surfaces
- On the Valuations Centered in a Local Domain
- A curve selection lemma in spaces of arcs and the image of the Nash map
- Towards the singular locus of the space of arcs
- Overweight deformations of affine toric varieties and local uniformization
- Exceptional divisors that are not uniruled belong to the image of the Nash map
- Three-dimensional counter-examples to the Nash problem
- Arc spaces of cA-type singularities
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