Timeline for Positivity properties of virtual Hodge numbers of Calabi-Yaus
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Mar 8, 2010 at 12:06 | comment | added | Allen Knutson | Ack, that's not what I meant to say. The virtual Poincare polynomial p(d) of the n-torus is (d-1)^n, computable by e.g. sticking it in (P^1)^n. There the sort of positivity statement I'm looking for is that p(d+1) has nonnegative coefficients (namely, it is d^n). | |
| Mar 5, 2010 at 19:41 | comment | added | Allen Knutson | "The following linear combination of the (p,p) Hodge numbers is always positive" would be particularly nice. One example: X a toric variety, D its boundary. Then X \ D has zero Euler characteristic, since it's a torus. | |
| Mar 5, 2010 at 13:26 | comment | added | Dmitri Panov | Allen, could you please give a bit of motivation so it would be more clear what you are looking for? | |
| Mar 4, 2010 at 23:46 | history | asked | Allen Knutson | CC BY-SA 2.5 |