Timeline for Dimension of the space of invariant quadratic differentials in Galois covers
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 27, 2013 at 13:24 | vote | accept | Darius Math | ||
| Jul 27, 2013 at 13:23 | comment | added | Darius Math | Dear Jason, thanks alot. Do you know a reference for the computation of $H^{1}(X,T_{X})^{G}$? I desperately need to know the answer for $G$ abelian. For $G$ cyclic I know that this dimension is $s-3$ (s: number of branch points) does this also hold for $G$ abelian? | |
| Jul 27, 2013 at 12:03 | comment | added | Jason Starr | Yes, but there is an Ext^1 that occurs when you "dualize" the short exact sequence of sheaves of relative differentials. That Ext^1 is the cokernel of this (non-surjective) morphism. | |
| Jul 27, 2013 at 11:58 | comment | added | Darius Math | But Hartshorne, chapter IV , prop 2.1 says that if the cover is finite and separable (the dual) of this exact sequence is true. | |
| S Jul 27, 2013 at 11:41 | history | answered | Jason Starr | CC BY-SA 3.0 | |
| S Jul 27, 2013 at 11:41 | history | made wiki | Post Made Community Wiki by Jason Starr |