Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity

DOI10.1016/j.aim.2017.01.016zbMath1375.32048arXiv1503.00130OpenAlexW2962886101WikidataQ123117128 ScholiaQ123117128MaRDI QIDQ509673

Adam Parusiński, Laurentiu Paunescu

Publication date: 17 February 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00130

zbMATH Keywords

stratificationsarc-analytic mappingsWhitney's fibering conjectureZariski equisingularity

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Germs of analytic sets, local parametrization (32B10) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topology of real algebraic varieties (14P25)

Related Items (20)

Old and New Results on Density of Stable Mappings ⋮ Algebraic stratified general position and transversality ⋮ Local polar varieties in the geometric study of singularities ⋮ Local topological algebraicity with algebraic coefficients of analytic sets or functions ⋮ On Grothendieck rings and algebraically constructible functions ⋮ Real intersection homology ⋮ Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets ⋮ Equisingular algebraic approximation of real and complex analytic germs ⋮ Lipschitz stratification of complex hypersurfaces in codimension 2 ⋮ Zariski’s dimensionality type of singularities. Case of dimensionality type 2 ⋮ Stratifications, equisingularity and triangulation ⋮ Higher order approximation of analytic sets by topologically equivalent algebraic sets ⋮ Validity proof of Lazard's method for CAD construction ⋮ Complete classification of Brieskorn polynomials up to the arc-analytic equivalence ⋮ Real intersection homology. II: A local duality obstruction ⋮ Multiparameter perturbation theory of matrices and linear operators ⋮ Algebraic varieties are homeomorphic to varieties defined over number fields ⋮ Stratification Theory ⋮ Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S _k ⋮ Algebro-Geometric Equisingularity of Zariski

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