Timeline for a question about stable curve
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 19, 2013 at 1:26 | vote | accept | kiseki | ||
| Mar 13, 2012 at 21:20 | comment | added | Sophie | I just noticed a important restriction: $X \setminus X_i$ needs to be connected for this to work out. A counterexample would be a $\mathbb{P}^1$ intersecting three curves of genus bigger then 0, lets say in $0, 1$ and $\lambda$. Then the coordinate function $x/y$, extended by $0, 1$ and $\lambda$ on the rest of the curve would have a single pole at infinity. So your statement is true if and only if every rational component is part of some cycle of the dual graph. | |
| Mar 13, 2012 at 15:20 | history | answered | Sophie | CC BY-SA 3.0 |