Verbitski, M. (2004) Subvarieties in non-compact hyperkähler manifolds. Mathematical Research Letters, 11, pp. 413-418.
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Publisher's URL: http://www.mathjournals.org/mrl/2004-011-004/2004-011-004-001.pdf
Abstract
Let M be a hyperkähler manifold, not necessarily compact, and S =∼C P1 the set of complex structures induced by the quaternionic action. Trianalytic subvariety of M is a subvariety which is complex analytic with respect to all I ∈ C P1. We show that for all I ∈ S outside of a countable set, all compact complex subvarieties Z ⊂ (M,I) are trianalytic. For M compact, this result was proven in [V1] using Hodge theory.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Verbitski, Dr Mikhail |
| Authors: | Verbitski, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Research Letters |
| ISSN: | 1073-2780 |
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