Fibrés paraboliques et champ des racines
Abstract
Following ideas of Nori, Biswas, ..., we show that given an integer r>0, a noetherian scheme X, and an effective Cartier divisor D on it, the parabolic vector bundles on (X,D) with weights multiples of 1/r (in the sense of Maruyama-Yokogawa) are equivalent to ordinary vector bundles on an orbifold, the stack of r-th roots associated to (X,D) (a twisted scheme in the sense of Abramovich-Vistoli). We use this fact to get some information on the finite parabolic bundles on the (pointed) projective line.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- April 2006
- DOI:
- arXiv:
- arXiv:math/0604458
- Bibcode:
- 2006math......4458B
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 32 pages