Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
DOI10.1007/s00208-019-01805-8zbMath1436.14094arXiv1807.05160OpenAlexW3099427367MaRDI QIDQ2423412
Toshizumi Fukui, Adam Parusiński, Jean-Baptiste Campesato, Krzysztof Kurdyka
Publication date: 21 June 2019
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.05160
germsmotivic integrationreal algebraic geometrysemi-algebraic setsarc spaceinner distanceinverse mapping theoremarc-symmetric setssemi-algebraic mapsarc-analytic mapblow-Nash map
Singularities in algebraic geometry (14B05) Lipschitz (Hölder) classes (26A16) Nash functions and manifolds (14P20) Arcs and motivic integration (14E18)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The class of the affine line is a zero divisor in the Grothendieck ring: an improvement
- Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity
- Curve-rational functions
- Lipschitz cell decomposition in o-minimal structures. I.
- Arc-analytic functions
- Lipschitz triangulations
- Lipschitz properties of semi-analytic sets
- Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs)
- Germs of arcs on singular algebraic varieties and motivic integration
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- Virtual Betti numbers of real algebraic varieties.
- Topology of injective endomorphisms of real algebraic sets
- On a motivic invariant of the arc-analytic equivalence
- The Grothendieck ring of varieties is not a domain.
- Motivic-type invariants of blow-analytic equivalence.
- Arc structure of singularities
- Lipschitz stratifications in power-bounded \(o\)-minimal fields
- The thick-thin decomposition and the bilipschitz classification of normal surface singularities
- On Grothendieck rings and algebraically constructible functions
- Continuous rational functions on real and \(p\)-adic varieties
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Stringy Hodge numbers of varieties with Gorenstein canonical singularities
- AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES
- The class of the affine line is a zero divisor in the Grothendieck ring
- The weight filtration for real algebraic varieties
- On metric types that are definable in an o-minimal structure
- Rational maps in real algebraic geometry
- Subanalytic Functions
- Lipschitz stratification of subanalytic sets
- Motivic invariants of arc-symmetric sets and blow-Nash equivalence
- Rational points in Henselian discrete valuation rings
- A characterization of analytic functions of n real variables
- Analytic functions in Banach spaces
- Space of real arc germs and Poincaré series of a semi-algebraic set
This page was built for publication: Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
