Algebraic subellipticity and dominability of blow-ups of affine spaces

zbMath1365.14081arXiv1606.08115MaRDI QIDQ507697

Tuyen Trung Truong, Finnur Lárusson

Publication date: 7 February 2017

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08115

zbMATH Keywords

blow-upaffine spacesubellipticOka manifoldstrongly dominable

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Complex manifolds (32Q99)

Related Items (6)

On subelliptic manifolds ⋮ Gromov ellipticity and subellipticity ⋮ Recent developments on Oka manifolds ⋮ Varieties covered by affine spaces, uniformly rational varieties and their cones ⋮ An implicit function theorem for sprays and applications to Oka theory ⋮ Approximation and interpolation of regular maps from affine varieties to algebraic manifolds

Cites Work

• Oka manifolds: from Oka to Stein and back
• A hypersurface which has the Abhyankar-Moh property
• Plongements des variétés de Stein
• Divisorial varieties
• Holomorphic Flexibility Properties of Compact Complex Surfaces
• On uniformly rational varieties
• Stein Manifolds and Holomorphic Mappings
• Zero cycles and the number of generators of an ideal
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• Local characterization of algebraic manifolds and characterization of components of the set $S_f$
• Oka properties of some hypersurface complements
• Infinite transitivity on universal torsors

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