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

zbMATH Keywords

germsmotivic integrationreal algebraic geometrysemi-algebraic setsarc spaceinner distanceinverse mapping theoremarc-symmetric setssemi-algebraic mapsarc-analytic mapblow-Nash map

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Lipschitz (Hölder) classes (26A16) Nash functions and manifolds (14P20) Arcs and motivic integration (14E18)

Related Items (1)

An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities

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