The arc space of a toric variety

DOI10.1016/j.jalgebra.2003.12.015zbMath1073.14066arXivmath/0312324OpenAlexW2081863896MaRDI QIDQ1882993

Shihoko Ishii

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312324

zbMATH Keywords

jet schemesNash problem

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group schemes (14L15)

Related Items

Arc spaces and chiral symplectic cores ⋮ Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals ⋮ On the nilpotent functions at a non-degenerate arc ⋮ The local Nash problem on arc families of singularities ⋮ The Nash problem for surfaces ⋮ Resolving singularities of curves with one toric morphism ⋮ Arc spaces and wedge spaces for toric varieties ⋮ Nash problem for surface singularities is a topological problem ⋮ Motivic volumes of fibers of tropicalization ⋮ Arc spaces and equivariant cohomology ⋮ The strong monodromy conjecture for monomial ideals on toric varieties ⋮ Exceptional divisors that are not uniruled belong to the image of the Nash map ⋮ Greenberg Approximation and the Geometry of Arc Spaces ⋮ Divisorial valuations via arcs ⋮ Jet schemes of normal toric surfaces ⋮ Geometric motivic Poincaré series of quasi-ordinary singularities ⋮ The arc space of the Grassmannian ⋮ Nash problem for stable toric varieties ⋮ Motivic Integration on Toric Stacks ⋮ Arcs on determinantal varieties ⋮ The Nash problem and its solution: a survey ⋮ Finite formal model of toric singularities ⋮ The arc space of horospherical varieties and motivic integration ⋮ Holomorphic arcs on singularities

Cites Work

• Unnamed Item
• Germs of arcs on singular algebraic varieties and motivic integration
• Jet schemes, log discrepancies and inversion of adjunction
• The Nash problem on arc families of singularities
• Multiplier ideals and modules on toric varieties
• Arc structure of singularities
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• Introduction to Toric Varieties. (AM-131)
• THE GEOMETRY OF TORIC VARIETIES
• Singularities of pairs via jet schemes
• Contact loci in arc spaces
• Jet schemes of locally complete intersection canonical singularities.

This page was built for publication: The arc space of a toric variety