A motivic local Cauchy-Crofton formula

DOI10.1007/s00229-020-01258-3OpenAlexW3103461144MaRDI QIDQ2664580

Arthur Forey

Publication date: 17 November 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03811

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Applications of model theory (03C98) Valued fields (12J10) Complex singularities (32Sxx) Other classical first-order model theory (03C68)

Cites Work

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• Constructible motivic functions and motivic integration
• Density of semi-pfaffian sets
• Local metric properties and regular stratifications of \(p\)-adic definable sets
• Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
• Motivic local density
• Équisingularité réelle : nombres de Lelong et images polaires
• NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT
• b-MINIMALITY
• Équisingularité réelle II : invariants locaux et conditions de régularité
• Formule de Cauchy-Crofton pour la densité des ensembles sous-analytiques
• Deformation of singularities and additive invariants
• Volume, Whitney conditions and Lelong number

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