A Geometric Invariant Theory Compactification of M_{g,n} Via the Fulton-MacPherson Configuration Space

Details A Geometric Invariant Theory Compactification of M_{g,n} Via the Fulton-MacPherson Configuration Space A Geometric Invariant Theory Compactification of M_{g,n} Via the Fulton-MacPherson Configuration Space

1995-05-23

arxiv.org/abs/alg-geom/9505022v1

Mathematics

Algebraic Geometry

14 pages. AMSLatex

Scientific paper

A compactification over $\overline{M}_g$ of $M_{g,n}$ is obtained by considering the relative Fulton-MacPherson configuration space of the universal curve. The resulting compactification differs from the Deligne-Mumford space $\overline{M}_{g,n}$. In case $n=2$, the compactification constructed here and the Deligne-Mumford compactification are essentially the distinct minimal resolutions of the fiber product over $\overline{M}_g$ of the universal curve with itself.

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