Timeline for Twisted curves, admissible covers, and an algebraic analogue of a specific monodromy computation
Current License: CC BY-SA 2.5
2 events
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| Jul 23, 2010 at 19:45 | comment | added | Arend Bayer | As for question 2: I don't have a nice explanation but one can argue for $G = \mu_r$: - the twisted curve is obtained from P^1 via $r$-th root constructions - a morphism to $B\mu_n$ is given by an $n$-torsion line bundle - this $n$-torsion line bundle is given by tensoring some $O(k)$ on $P^1$ with tensor powers of the ``tautological line bundles'' (coming from the $r$-th root constructions) - the coefficient of each tautological line bundle determines the group element - the $n$-th power of this line bundle can only be trivial if the product of the corresponding group elements is trivial. | |
| Jul 23, 2010 at 18:44 | history | answered | Arend Bayer | CC BY-SA 2.5 |