A Tranversality Theorem for Holomorphic Mappings and Stability of Eisenman-Kobayashi Measures

DOI10.1090/S0002-9947-96-01482-1zbMath0851.32018MaRDI QIDQ4875716

Mikhail Zaidenberg, Shulim Kaliman

Publication date: 13 June 1996

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

zbMATH Keywords

Whitney stratificationEisenman-Kobayashi measureThom's transversality

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein spaces (32E10) Holomorphic maps on manifolds (58C10) Real-analytic and Nash manifolds (58A07) Stratified sets (58A35)

Related Items (13)

Envelopes of holomorphy and holomorphic discs ⋮ Old and New Results on Density of Stable Mappings ⋮ The local Euler obstruction and topology of the stabilization of associated determinantal varieties ⋮ Deformations and transversality of pseudo-holomorphic discs ⋮ Riemann surfaces of second kind and effective finiteness theorems ⋮ STRATIFIED TRANSVERSALITY OF HOLOMORPHIC MAPS ⋮ Some facts about Eisenman intrinsic measures. II ⋮ Approximation of holomorphic maps with a lower bound on the rank ⋮ Thom's jet transversality theorem for regular maps ⋮ On Parseval frames of exponentially decaying composite Wannier functions ⋮ Transversality theorems for the weak topology ⋮ Preimages of CR submanifolds with generic holomorphic maps ⋮ Conformal invariants of 3-braids and counting functions

Cites Work

• Every Stein subvariety admits a Stein neighborhood
• A family of smooth hyperbolic hypersurfaces in \(\mathbb{P}^3\)
• Exotic analytic structures and Eisenman intrinsic measures
• Some Remarks on the Intrinsic Measures of Eisenman
• Some facts about Eisenman intrinsic measures. II
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• Holomorphic Maps Which Preserve Intrinsic Measure
• On Preserving the Kobayashi Pseudodistance
• Moving Holomorphic Disks off Analytic Subsets
• Intrinsic distances, measures and geometric function theory
• Intrinsic measures on complex manifolds and holomorphic mappings
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