Complete bounded holomorphic curves immersed in $\mathbb {C}^2$ with arbitrary genus
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Publication:3182582
DOI10.1090/S0002-9939-09-09953-5zbMath1177.53056arXiv0810.5193OpenAlexW1988962051MaRDI QIDQ3182582
Francisco Martín, Kotaro Yamada, Masaaki Umehara
Publication date: 9 October 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.5193
Related Items (10)
Complete embedded complex curves in the ball of \(\mathbb{C}^2\) can have any topology ⋮ Compact complete null curves in complex 3-space ⋮ Every bordered Riemann surface is a complete proper curve in a ball ⋮ The Calabi-Yau problem, null curves, and Bryant surfaces ⋮ A complete complex hypersurface in the ball of \(\mathbb{C}^N\) ⋮ Erratum to: ``Complete bounded null curves immersed in \(\mathbb{C}^3\) and \(\mathrm{SL}(2,\mathbb{C})\) ⋮ Null curves in \({\mathbb{C}^3}\) and Calabi-Yau conjectures ⋮ Complete nonsingular holomorphic foliations on Stein manifolds ⋮ Null Holomorphic Curves in $$\mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem ⋮ Complete bounded embedded complex curves in \(\mathbb {C}^2\)
Cites Work
- Unnamed Item
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- Existence of proper minimal surfaces of arbitrary topological type
- A complete minimal surface in \(R^ 3\) between two parallel planes
- Adding handles to Nadirashvili's surfaces
- Density theorems for complete minimal surfaces in \({\mathbb{R}}^{3}\)
- Maximal surfaces with singularities in Minkowski space
- On the Calabi-Yau problem for maximal surfaces in \(\mathbb L^3\)
- Hyperbolic complete minimal surfaces with arbitrary topology
- Complete nonorientable minimal surfaces in a ball of $\mathbb {R}^3$
- Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces
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