Oka-1 manifolds: new examples and properties

Rational and unirational varieties (14M20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Rationally connected varieties (14M22) Oka principle and Oka manifolds (32Q56)

Cites Work

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A Runge approximation theorem for pseudo-holomorphic maps
Riemann surfaces in Stein manifolds with the density property
Algebraic subellipticity and dominability of blow-ups of affine spaces
Proper holomorphic embeddings into Stein manifolds with the density property
Survey of Oka theory
Holomorphic curves in complex spaces
On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
Erratum: ``Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
The Oka principle for sections of subelliptic submersions
Model structures and the Oka principle
The first thirty years of Andersén-Lempert theory
Euclidean domains in complex manifolds
Proper holomorphic immersions into Stein manifolds with the density property
Fonction theory on compact Riemann surfaces
Mergelyan approximation theorem for holomorphic Legendrian curves
Recent developments on Oka manifolds
On the Fundamental Group of a Unirational Variety
Holomorphic flexibility properties of complex manifolds
Oka's Principle for Holomorphic Sections of Elliptic Bundles
Torification and factorization of birational maps
A Tranversality Theorem for Holomorphic Mappings and Stability of Eisenman-Kobayashi Measures
An implicit function theorem for sprays and applications to Oka theory
Manifolds with infinite dimensional group of holomorphic automorphisms and the Linearization Problem
Elliptic characterization and localization of Oka manifolds
Approximation and interpolation of regular maps from affine varieties to algebraic manifolds
Stein Manifolds and Holomorphic Mappings
Bounded Holomorphic Functions on Finite Riemann Surfaces
Higher-dimensional algebraic geometry
The density property for complex manifolds and geometric structures
Dense entire curves in rationally connected manifolds (with an appendix by János Kollár)
Gromov ellipticity and subellipticity
Varieties covered by affine spaces, uniformly rational varieties and their cones
Oka properties of complements of holomorphically convex sets

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