Jet schemes, arc spaces and the Nash problem

Abstract

This paper is an introduction to the jet schemes and the arc space of an algebraic variety. We also introduce the Nash problem on arc families.

21 pages, to appear in the Mathematical Reports of the Academy of Science of the Royal Society of Canada (Canadian Comptes Rendus)

References in corpus (5)

• Jet schemes, log discrepancies and Inversion of Adjunction
• An introduction to motivic integration
• Jets via Hasse-Schmidt Derivations
• The Nash problem on arcs for surface singularities
• Families of higher dimensional germs with bijective Nash map

Cited by in corpus (9)

• Introduction to W-algebras and their representation theory
• Geometric motivic Poincaré series of quasi-ordinary singularities
• Mather discrepancy and the arc spaces
• Zero dimensional arc valuations on smooth varieties
• Koszul algebras and Donaldson-Thomas invariants
• Quadratic ideals and Rogers-Ramanujan recursions
• On jet closures of singularities
• Motivic Poincaré series, toric singularities and logarithmic jacobian ideals
• One-dimensional bad Noetherian domains