Moduli stacks of curves with a fixed dual graph

Published 13 Jul 2010 in math.AG | (1007.2130v2)

Abstract: We consider the stack of stable curves of genus g with a given dual graph and we give an explicit desingularization of its closure in the moduli stack of stable curves. We study in particular the one-dimensional substack of curves with at least 3g-4 nodes.

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