Timeline for Is there Harer stability for moduli of curves with level structure?
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| Jan 18, 2011 at 21:16 | comment | added | Oscar Randal-Williams | I should add that the point of the last paragraph is that it is the $\widetilde{\mathcal{M}}_g^{1/r}$ which are covering spaces of $\mathcal{M}_g$ and they don't have integral stability. In Andy's answer you also see that the level $L$ congruence subgroups also do not have integral stability. On the other hand, spaces over $\mathcal{M}_g$ which have a "good" moduli theoretic meaning often do have integral stability. $r$-Spin Riemann surfaces is one example, and Riemann surfaces equipped with a holomorphic line bundle is another. | |
| Jan 18, 2011 at 14:58 | history | answered | Oscar Randal-Williams | CC BY-SA 2.5 |