Arc spaces and wedge spaces for toric varieties
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Publication:6073551
DOI10.5802/aif.3568OpenAlexW3109913982MaRDI QIDQ6073551
Publication date: 11 October 2023
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/aif.3568
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Valuations and their generalizations for commutative rings (13A18) Local complex singularities (32S05)
Cites Work
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- Algebraization and Tannaka duality
- Toroidal embeddings. I
- Divisorial valuations via arcs
- Germs of arcs on singular algebraic varieties and motivic integration
- The Nash problem on arc families of singularities
- Coordinates at stable points of the space of arcs
- Mather discrepancy as an embedding dimension in the space of arcs
- Motivic integration
- The arc space of a toric variety
- Arc structure of singularities
- Mather discrepancy and the arc spaces
- Essential divisors, essential components of singular toric varieties
- Differentials on the arc space
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- Jacobian discrepancies and rational singularities
- Singularities with respect to Mather-Jacobian discrepancies
- Introduction to Toric Varieties. (AM-131)
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- 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
- Reduction of Local Uniformization to the rank one case
- The space of arcs of an algebraic variety
- Introduction to Singularities
- 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
- Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash map
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