Smooth solutions to the complex Plateau problem
| Autor: | de Fernex, Tommaso |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | Building on work of Du, Gao, and Yau, we give a characterization of smooth solutions, up to normalization, of the complex Plateau problem for strongly pseudoconvex Calabi--Yau CR manifolds of dimension $2n-1 \ge 5$ and in the hypersurface case when $n=2$. The latter case was completely solved by Yau for $n \ge 3$ but only partially solved by Du and Yau for $n=2$. As an application, we determine the existence of a link-theoretic invariant of normal isolated singularities that distinguishes smooth points from singular ones. Comment: 12 pages; v3: to appear in J. Differential Geom |
| Databáze: | arXiv |
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