A Geometric Invariant Theory Compactification of Mg,n Via the Fulton-MacPherson Configuration Space
Abstract
A compactification over Mg of Mg,n is obtained by considering the relative Fulton-MacPherson configuration space of the universal curve. The resulting compactification differs from the Deligne-Mumford space Mg,n. In case n=2, the compactification constructed here and the Deligne-Mumford compactification are essentially the distinct minimal resolutions of the fiber product over Mg of the universal curve with itself.
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