Holomorphic functions unbounded on curves of finite length
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Publication:261437
DOI10.1007/s00208-015-1253-5zbMath1343.32009arXiv1412.2916OpenAlexW1602546300MaRDI QIDQ261437
Publication date: 23 March 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.2916
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Global submanifolds (53C40) Polyhedral manifolds (52B70) Global boundary behavior of holomorphic functions of several complex variables (32E35)
Related Items (11)
Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves: Figure. 5.1. ⋮ The first thirty years of Andersén-Lempert theory ⋮ Complete complex hypersurfaces in the ball come in foliations ⋮ Wild holomorphic foliations of the ball ⋮ Complete embedded complex curves in the ball of \(\mathbb{C}^2\) can have any topology ⋮ A construction of complete complex hypersurfaces in the ball with control on the topology ⋮ Complete nonsingular holomorphic foliations on Stein manifolds ⋮ A foliation of the ball by complete holomorphic discs ⋮ Construction of labyrinths in pseudoconvex domains ⋮ Complete bounded embedded complex curves in \(\mathbb {C}^2\) ⋮ Wild boundary behaviour of homomorphic functions in domains of C^N
Cites Work
- Complete bounded embedded complex curves in \(\mathbb {C}^2\)
- A complete complex hypersurface in the ball of \(\mathbb{C}^N\)
- Holomorphic functions with highly noncontinuable boundary behavior
- Curvatures of complex submanifolds of \(C^n\)
- A Complete Bounded Complex Submanifold of C 3
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