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Hyperkähler Syz Conjecture and Semipositive Line Bundles
| Content Provider | Semantic Scholar |
|---|---|
| Author | Verbitsky, Misha |
| Copyright Year | 2008 |
| Abstract | Let M be a compact, holomorphic symplectic Kähler manifold, and L a non-trivial line bundle admitting a metric of semipositive curvature. We show that some power of L is effective. This result is related to the hyperkähler SYZ conjecture, which states that such a manifold admits a holomorphic Lagrangian fibration, if L is not big. |
| Starting Page | 1481 |
| Ending Page | 1493 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00039-009-0037-z |
| Volume Number | 19 |
| Alternate Webpage(s) | https://www.hse.ru/data/2010/10/21/1224601101/2syz-gafa.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0811.0639v2.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/0811.0639v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0811.0639v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s00039-009-0037-z |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
