Timeline for Local deformations of Lagrangian submanifolds in holomorphic symplectic manifold and their intersections
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2016 at 8:05 | comment | added | abx | Note that the OP has edited her(?) question, she wants to start with a nowhere vanishing section of the normal bundle. So my example does not apply. | |
| Mar 22, 2016 at 14:39 | comment | added | Tony Pantev | Nice example with the Fano variety of lines! I still don't understand why you say that the answer of the second question is 'yes'? Your example shows that the answer to the second question is 'no'. and I think my elementary example with a non-linear family of curves on a K3 (in the comment above) also shows that the answer is 'no'. The first one has a chance of being true though. | |
| Mar 22, 2016 at 11:15 | comment | added | abx | Oh, I see. Then, as I said, it should follow from deformation theory. | |
| Mar 22, 2016 at 10:25 | comment | added | Lya | But existence of a non-vanishing section is quite strong condition: in particular $ c_{2}(N)=0$ and surfaces can't have only zero-dimensional intersection. In your example $c_{2}(N)=27$. Sorry, maybe I should have written nowhere vanishing section instead of non-vanishing. | |
| Mar 22, 2016 at 10:18 | history | edited | Ben McKay | CC BY-SA 3.0 |
grammar
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| Mar 22, 2016 at 9:00 | history | answered | abx | CC BY-SA 3.0 |