STRATIFIED TRANSVERSALITY OF HOLOMORPHIC MAPS

DOI10.1142/S0129167X13501061zbMath1295.32026OpenAlexW2137466109MaRDI QIDQ5397557

Saurabh Trivedi

Publication date: 24 February 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13501061

zbMATH Keywords

holomorphic mapstransversalityStein manifoldsstratificationsOka manifoldsWhitney regularity

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein manifolds (32Q28) Holomorphic maps on manifolds (58C10) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Stratified sets (58A35)

Related Items (4)

Old and New Results on Density of Stable Mappings ⋮ The local Euler obstruction and topology of the stabilization of associated determinantal varieties ⋮ Stratifications, equisingularity and triangulation ⋮ Stratification Theory

Cites Work

• Every Stein subvariety admits a Stein neighborhood
• A family of smooth hyperbolic hypersurfaces in \(\mathbb{P}^3\)
• Stability of transversality to a stratification implies Whitney (a)- regularity
• Tangents to an analytic variety
• Transversality theorems for the weak topology
• Stein Manifolds and Holomorphic Mappings
• Holomorphic flexibility properties of complex manifolds
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• A Tranversality Theorem for Holomorphic Mappings and Stability of Eisenman-Kobayashi Measures
• Transversality in manifolds of mappings
• The measure of the critical values of differentiable maps

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