Rationality of Moduli Spaces of Parabolic Bundles
alg-geom
2021-09-29 v1 Algebraic Geometry
Abstract
The moduli space of parabolic bundles with fixed determinant over a smooth curve of genus greater than one is proved to be rational whenever one of the multiplicities associated to the quasi-parabolic structure is equal to one. It follows that if rank and degree are coprime, the moduli space of vector bundles is stably rational, and the bound obtained on the level is strong enough to conclude rationality in many cases.
Cite
@article{arxiv.alg-geom/9610013,
title = {Rationality of Moduli Spaces of Parabolic Bundles},
author = {H. U. Boden and K. Yokogawa},
journal= {arXiv preprint arXiv:alg-geom/9610013},
year = {2021}
}
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