Timeline for Non-compact Kähler manifolds which admit a positive line bundle
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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S Nov 3, 2013 at 19:09 | history | bounty ended | CommunityBot | ||
S Nov 3, 2013 at 19:09 | history | notice removed | CommunityBot | ||
Nov 1, 2013 at 6:37 | answer | added | Misha Verbitsky | timeline score: 5 | |
S Oct 26, 2013 at 17:21 | history | bounty started | Michael Albanese | ||
S Oct 26, 2013 at 17:21 | history | notice added | Michael Albanese | Draw attention | |
Sep 5, 2012 at 9:03 | comment | added | user20497 | I'm not sure if this answers your question. There are positive line bundles on non-compact manifolds which are not ample, see for instance the paper of T. Ohsawa "A counter example of ampleness of positive line bundles", Proc. Japan Acad. Ser. A Math. Sci. Volume 55, Number 5 (1979), 193-194. On the positive side, a theorem of S. Takayama asserts that a weakly 1-complete manifold, which carries a positive line bundle can be embedded (of course, not properly) into a projective space. However, the embedding is given by a twisting of the positive line bundle with the canonical line bundle. | |
Sep 5, 2012 at 4:33 | history | asked | Michael Albanese | CC BY-SA 3.0 |