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Rationality of Moduli Spaces of Parabolic Bundles
Author(s) -
Boden Hans U.,
Yokogawa Kôji
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799007061
Subject(s) - moduli space , mathematics , rationality , vector bundle , pure mathematics , rank (graph theory) , coprime integers , mathematical analysis , space (punctuation) , moduli , degree (music) , genus , discrete mathematics , combinatorics , physics , computer science , botany , quantum mechanics , political science , acoustics , law , biology , operating system
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.