%0 Journal Article %T On linearization of line bundles %A Michel Brion %J Mathematics %D 2013 %I arXiv %X We study the linearization of line bundles and the local structure of actions of connected linear algebraic groups, in the setting of seminormal varieties. We show that several classical results about normal varieties extend to that setting, if the Zariski topology is replaced with the \'etale topology. %U http://arxiv.org/abs/1312.6267v3