Fibr\'es paraboliques et champ des racines
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0604458,
title = {Fibr\'es paraboliques et champ des racines},
author = {Niels Borne},
journal= {arXiv preprint arXiv:math/0604458},
year = {2007}
}
Comments
32 pages