Moduli Spaces of Hyperelliptic Curves with a and D Singularities
نویسنده
چکیده
We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. Stability conditions for these moduli problems depend on two parameters describing allowable singularities. At the extreme values of the parameters, we obtain the stacks TAn and TDn of stable limits of An and Dn singularities, as well as the quotients of the miniversal deformation spaces of these singularities by a natural Gm-action. We prove that the intermediate spaces are log canonical models of TAn and TDn .
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