Timeline for Condition on moment polytope for a toric manifold to be Fano
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 9, 2016 at 5:50 | vote | accept | Anon | ||
| Oct 1, 2015 at 18:02 | comment | added | YHBKJ | It's better to add the condition that $M$ is compact, otherwise you will allow examples like $Bl_0(\mathbb{C}^n)$, which is "Fano" in the sense that $c_1(M)>0$. Also "monotone" is a better word than "Fano" in the symplectic category. | |
| Oct 1, 2015 at 12:04 | answer | added | Allen Knutson | timeline score: 3 | |
| Oct 1, 2015 at 11:25 | comment | added | Oldřich Spáčil | If you can access the book McDuff, Salamon: J-holomorphic curves and symplectic topology, read Section 11.3.1 on page 409. I think the (positive) answer is there. | |
| Oct 1, 2015 at 9:50 | comment | added | Anon | @dima-sustretov A symplectic toric manifold can alternately be viewed as a symplectic quotient of a torus acting on $\mathbb C^n$, so it comes with a K\"ahler structure. | |
| Oct 1, 2015 at 9:32 | comment | added | Dima Sustretov | what does it mean for a symplectic manifold to be Fano? or do you want tell if it is Fano for some kahler metric compatible with the symplectic structure? | |
| Oct 1, 2015 at 9:25 | history | asked | Anon | CC BY-SA 3.0 |