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Moduli spaces of hyperelliptic curves with A and D singularities (1007.4828v2)
Published 27 Jul 2010 in math.AG
Abstract: We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. The stability conditions for these moduli spaces depend on two parameters describing allowable singularities. By varying these parameters, we interpolate between the stacks of stable limits of A and D singularities and the quotients of the versal deformation spaces of A and D singularities by a natural $\mathbb{G}_m$ action.
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