An interpolation theorem for holomorphic automorphisms of \({\mathbb{C}}^n\)

DOI10.1007/BF02921807zbMath0963.32014arXivmath/9603210MaRDI QIDQ1589318

Gregery T. Buzzard, Franc Forstnerič

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9603210

zbMATH Keywords

automorphisms of \(\mathbb{C}^n\)Mittag-Leffler interpolation problem

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Complex spaces with a group of automorphisms (32M99)

Related Items (9)

An interpolation theorem for proper holomorphic embeddings ⋮ Tame sets, dominating maps, and complex tori ⋮ The first thirty years of Andersén-Lempert theory ⋮ Flexible varieties and automorphism groups ⋮ Kupka-Smale theorem for automorphisms of \(\mathbf C^n\) ⋮ A parametric jet-interpolation theorem for holomorphic automorphisms of \(\mathbb {C}^n\) ⋮ Fatou-Bieberbach domains as basins of attraction of automorphisms tangent to the identity ⋮ Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\) ⋮ ATTRACTING DOMAINS OF MAPS TANGENT TO THE IDENTITY WHOSE ONLY CHARACTERISTIC DIRECTION IS NON-DEGENERATE

Cites Work

• Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
• Holomorphic Maps from C n to C n
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