Whitney regularity and Thom condition for families of non-isolated mixed singularities

DOI10.2969/jmsj/77437743zbMath1407.14044arXiv1607.03741OpenAlexW2964116110MaRDI QIDQ1712751

Mutsuo Oka, Christophe Eyral

Publication date: 31 January 2019

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03741

zbMATH Keywords

Whitney equisingularitydeformation family of mixed singularitiesnon-compact Newton boundarystrong non-degeneracyThom \(a_f\) conditionuniform local tamenessWhitney \((b)\)-regularity

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25) Hypersurfaces and algebraic geometry (14J70)

Related Items (8)

Join theorem for real analytic singularities ⋮ Nondegenerate locally tame complete intersection varieties and geometry of nonisolated hypersurface singularities ⋮ New classes of mixed functions without Thom regularity ⋮ Harmonic morphisms and their Milnor fibrations ⋮ On the Milnor fibration for \(f(z)\bar{g}(z)\). II ⋮ Milnor-Hamm fibration for mixed maps ⋮ Milnor’s Fibration Theorem for Real and Complex Singularities ⋮ Introduction to Mixed Hypersurface Singularity

Cites Work

• On Milnor fibrations of mixed functions, \(a_f\)-condition and boundary stability
• Canonical stratification of non-degenerate complete intersection varieties
• Topology of polar weighted homogeneous hypersurfaces
• Non-degenerate mixed functions
• Integral closure of modules and Whitney equisingularity
• Topological stability of smooth mappings
• Non-compact Newton boundary and Whitney equisingularity for non-isolated singularities
• Tangents to an analytic variety
• Singular Points of Complex Hypersurfaces. (AM-61)

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