The one-dimensional stratum in the boundary of the moduli stack of stable curves
Algebraic Geometry
2007-12-28 v1
Abstract
The moduli stack of Deligne-Mumford stable curves of genus g admits a stratification, so that the number of nodes of the curves belonging to one stratum is constant. The irreducible components of the stratum corresponding to curves with exactly 3g-4 nodes are one-dimensional substacks. We show how they can be related to moduli stacks of (permutation classes of) pointed stable curves. Using this, we construct all components of this stratum in a new way as quotient stacks.
Keywords
Cite
@article{arxiv.0712.4251,
title = {The one-dimensional stratum in the boundary of the moduli stack of stable curves},
author = {Joerg Zintl},
journal= {arXiv preprint arXiv:0712.4251},
year = {2007}
}
Comments
34 pages