Volume de tubes autour de singularités. (On the volume of tubes around singularities)

DOI10.1215/S0012-7094-86-05327-5zbMath0653.32006OpenAlexW2054268632MaRDI QIDQ1107669

François Loeser

Publication date: 1986

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-86-05327-5

zbMATH Keywords

volume of tubesanalytic subset in \({\mathbb{C}}^ n\)

Mathematics Subject Classification ID

Local complex singularities (32S05) Analytic subsets of affine space (32B15) Complex singularities (32Sxx)

Related Items (5)

Hausdorff approximations and volume of tubes of singular algebraic sets ⋮ Stability under integration of sums of products of real globally subanalytic functions and their logarithms ⋮ Resolution of singularities, asymptotic expansions of integrals and related phenomena ⋮ Moyennisation et régularité deux-microlocale ⋮ Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques. (Integration of subanalytic functions and volumes of subanalytic subspaces)

Cites Work

• Some local consequences of Hodge theory
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Le lemme fondamental de Nilsson dans le cas analytique local
• Complex differential and integral geometry and curvature integrals associated to singularities of complex analytic varieties
• On the Poincaré series associated to the p-adic points on a curve
• Complex powers and asymptotic expansions. II.
• Complex powers and asymptotic expansions. I. Functions of certain types.
• On the Volume of Tubes
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