Timeline for Example of a variety with explicit cohomology ring and Kahler cone
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 14, 2012 at 16:11 | comment | added | Jason Starr | Why don't you use a general type hypersurface (or complete intersection) in $\mathbb{P}^a \times \mathbb{P}^b$, or in any toric variety of whatever Picard number you like? If the dimension is at least 3, then you can use the Lefschetz hyperplane theorem to describe the Kaehler cone. Of course you can use adjunction to insure the variety is of general type. | |
| Apr 14, 2012 at 13:56 | comment | added | meh | and i missed 'general type in my first reading' sorry. | |
| Apr 14, 2012 at 13:51 | answer | added | David E Speyer | timeline score: 3 | |
| Apr 14, 2012 at 13:38 | comment | added | meh | non-general K3 surfaces ? I'm not familiar with the literature, but I think this must be known in many cases. If all of $h^{1,1} is algebraic, that should work- no ? | |
| Apr 14, 2012 at 12:58 | comment | added | Gunnar Þór Magnússon | Like pornography, I'll know it when I see it. What I have in mind is that maybe I don't have to describe exactly the Kahler cone in $H^{1,1}(X)$, but only know some open set that is definitely in the cone. | |
| Apr 14, 2012 at 11:53 | comment | added | Fernando Muro | What does "knownish" mean? | |
| Apr 14, 2012 at 11:08 | history | asked | Gunnar Þór Magnússon | CC BY-SA 3.0 |