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 of is obtained by considering the relative Fulton-MacPherson configuration space of the universal curve. The resulting compactification differs from the Deligne-Mumford space . In case , the compactification constructed here and the Deligne-Mumford compactification are essentially the distinct minimal resolutions of the fiber product over 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