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

Jagadish Pine

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

Algebraic Geometry 2022-12-19 v2

Authors: Jagadish Pine

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.

Keywords

moduli spaces of vector bundles moduli spaces vector bundles

Cite

@article{arxiv.2211.02901,
  title  = {Universal parabolic moduli over $\overline{M}_{_{g, n}}$},
  author = {Jagadish Pine},
  journal= {arXiv preprint arXiv:2211.02901},
  year   = {2022}
}

Comments

31 pages

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