English

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

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

A compactification over Mg\overline{M}_g of Mg,nM_{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 Mg,n\overline{M}_{g,n}. In case n=2n=2, the compactification constructed here and the Deligne-Mumford compactification are essentially the distinct minimal resolutions of the fiber product over Mg\overline{M}_g of the universal curve with itself.

Keywords

Cite

@article{arxiv.alg-geom/9505022,
  title  = {A Geometric Invariant Theory Compactification of M_{g,n} Via the Fulton-MacPherson Configuration Space},
  author = {R. Pandharipande},
  journal= {arXiv preprint arXiv:alg-geom/9505022},
  year   = {2008}
}

Comments

14 pages. AMSLatex