The Runge approximation problem for holomorphic maps into Grassmannians

DOI10.1007/BF02571908zbMath0827.32015MaRDI QIDQ1894818

Wojciech Kucharz

Publication date: 26 July 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174733

zbMATH Keywords

holomorphic mapsGrassmannianRunge approximationcomplex affine algebraic variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (9)

A characterization of the complex affine line ⋮ Approximation of holomorphic maps from Runge domains to affine algebraic varieties ⋮ Algebraic approximation of analytic subsets of \(\mathbb C^q\times\{0\}\) in \(\mathbb C^{q+1}\) ⋮ Rational approximation of holomorphic maps ⋮ Approximation of analytic sets with proper projection by algebraic sets ⋮ A Runge approximation theorem for pseudo-holomorphic maps ⋮ On Nash approximation of complex analytic sets in Runge domains ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Approximation of analytic sets along Nash subvarieties

Cites Work

• Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen
• Algebraic approximations of holomorphic maps from Stein domains to projective manifolds
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
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