The Nash problem for torus actions of complexity one
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Publication:6658017
DOI10.1515/CRELLE-2024-0070MaRDI QIDQ6658017
David Bourqui, Hussein Mourtada, Kevin Langlois
Publication date: 8 January 2025
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Computer science (68-XX) Game theory, economics, finance, and other social and behavioral sciences (91-XX)
Cites Work
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- Torus invariant divisors
- Homogeneous spaces and equivariant embeddings
- A solution to the Nash problem on arcs for a family of quasi-rational hypersurfaces
- Polarized complexity-1 T-varieties
- The arc space of the Grassmannian
- Toroidal embeddings. I
- Polyhedral divisors and algebraic torus actions
- Families of \(m\)-jet spaces and arc spaces
- Divisorial valuations via arcs
- Families of higher dimensional germs with bijective Nash map
- Gluing affine torus actions via divisorial fans
- The Nash problem on arc families of singularities
- Cartier divisors and geometry of normal \(G\)-varieties
- Mather discrepancy as an embedding dimension in the space of arcs
- Motivic integration
- Log terminal singularities, platonic tuples and iteration of Cox rings
- On Nash problem of arc.
- The arc space of a toric variety
- Minimal generating system, essential divisors and \(G\)-desingularisation of toric varieties
- Families of arcs on rational surface singularities
- Arc structure of singularities
- The Nash problem for surfaces
- Polyhedral divisors of affine trinomial hypersurfaces
- Polyhedral divisors and torus actions of complexity one over arbitrary fields
- Differentials on the arc space
- Arc valuations on smooth varieties
- On the generalized Nash problem for smooth germs and adjacencies of curve singularities
- Jacobian discrepancies and rational singularities
- Lectures on minimal models and birational transformations of two dimensional schemes
- Arcs on determinantal varieties
- Toroidal embeddings and polyhedral divisors
- A curve selection lemma in spaces of arcs and the image of the Nash map
- Lectures on Resolution of Singularities (AM-166)
- A class of non-rational surface singularities with bijective Nash map
- Some Numerical Criteria for the Nash Problem on Arcs for Surfaces
- Towards the singular locus of the space of arcs
- The geometry of <var>T</var>-varieties
- Nash problem for quotient surface singularities
- Introduction
- Arcs and wedges on sandwiched surface singularities
- The embedded Nash problem of birational models of rational triple singularities
- The space of arcs of an algebraic variety
- Toric varieties
- Exceptional divisors that are not uniruled belong to the image of the Nash map
- Three-dimensional counter-examples to the Nash problem
- Bijectiveness of the Nash Map for Quasi-Ordinary Hypersurface Singularities
- Arc spaces of cA-type singularities
- Arcs, valuations and the Nash map
- Jet schemes and minimal toric embedded resolutions of rational double point singularities
- Rational Complexity-One $\boldsymbol{T}$-Varieties Are Well-Poised
- Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash map
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