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Journal of the London Mathematical Society 1999 59(2):461-478; doi:10.1112/S0024610799007061
© 1999 by London Mathematical Society
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© The London Mathematical Society

Rationality of Moduli Spaces of Parabolic Bundles

Hans U. Boden and Kôji Yokogawa

Department of Mathematics, Ohio State University–Mansfield Mansfield, OH 44906 USA boden{at}math.ohio-state.edu
Department of Mathematics, Faculty of Science, Osaka University Toyonaka, Osaka 560, Japan yokogawa{at}math.sci.osaka-u.ac.jp

Received 12 April 1995. Revision received 29 August 1996. Revision received 7 April 1997.

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 of the quasi-parabolic structure equals one. This gives a new proof that the moduli space of vector bundles of coprime rank and degree is stably rational, a result originally due to Ballico, and the bound on the level is strong enough to deduce rationality in many cases, extending results of Newstead.


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