Timeline for Cohomology of Homogeneous Complex Manifolds
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 31, 2015 at 21:14 | comment | added | Ken Richardson | Yes. The torus is just $\mathbb{C}$ mod a lattice. I was trying to think of another counterexample. All you would need would be to mod out a semi-simple algebraic group by a lattice subgroup, and then the result would have non trivial fundamental group and thus nontrivial $H_1$. But I really don't have much experience with semi-simple group actions. I know that would work for compact group actions. | |
| May 26, 2015 at 8:51 | comment | added | Falertu Vatilski | Is the action of the $\mathbb C$ homogeneous? | |
| May 25, 2015 at 21:22 | comment | added | Daniel Loughran | In the question $G$ is a semi-simple algebraic group, which does not seem to be the case for your "counter-example". | |
| May 25, 2015 at 20:41 | review | First posts | |||
| May 25, 2015 at 20:45 | |||||
| May 25, 2015 at 20:40 | history | answered | Ken Richardson | CC BY-SA 3.0 |