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RATIONALITY OF MODULI SPACES OF PARABOLIC BUNDLES

Published online by Cambridge University Press:  01 April 1999

HANS U. BODEN  and
KÔJI YOKOGAWA
HANS U. BODEN
Affiliation:
Department of Mathematics, Ohio State University–Mansfield, Mansfield, OH 44906 USA; [email protected]
KÔJI YOKOGAWA
Affiliation:
Department of Mathematics, Faculty of Science, Osaka University, Toyonaka, Osaka 560, Japan; [email protected]
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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 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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 461 - 478
Copyright
The London Mathematical Society 1999

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