|
3 | added 62 characters in body | ||
|
This is correct in characteristic $0$. Let $G$ be the kernel of the action; then one has to show that $X_{R_L}/G$ is a stable curve over $R_L^G$. This is Lemma 3.2 in my paper with Dan Abramovich Complete moduli for fibered surfaces, http://arxiv.org/abs/math/9804097. I am pretty sure that it is false in positive characteristic, though. [Edit:] I guess I was wrong about positive characteristic. |
||||
|
|
2 | added 3 characters in body | ||
|
This is correct in characteristic $0$. Let $G$ be the kernel of the action; then one has to show that $X_{R_L}/G$ is a stable curve over $R_L^G$. This is Lemma 3.2 in my paper with Dan Abramovich Complete moduli for fibered surfaces, http://arxiv.org/abs/math/9804097. I am pretty sure that it is false in positive characteristic, though. |
||||
|
|
1 |
|
||
|
This is correct in characteristic $0$. Let $G$ be the kernel of the action; then one has to show that $X_{R_L}/G$ is a stable curve over $R_L^G$. This is Lemma 3.2 in my paper with Dan Abramovich Complete moduli for fibered surfaces, http://arxiv.org/abs/math/9804097. I am pretty sure that is false in positive characteristic, though. |
||||
