Universal parabolic moduli over ${\overline{M}}_{{}_{g,n}}$

Abstract

In this article we will construct a universal moduli space of stable parabolic vector bundles over the moduli space of marked Deligne-Mumford stable curves ${\overline{M}}_{{}_{g,n}}$. The objects that appear over the boundary of ${\overline{M}}_{{}_{g,n}}$ i.e., over singular curves will remain vector bundles. The total space and the fibers over ${\overline{M}}_{{}_{g,n}}$ will have good singularities.

arXiv comment31 pages