Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 22 (2015), No. 1, Page 113–147
We study the linearization of line bundles and the local properties of actions of connected linear algebraic groups, in the setting of seminormal varieties. We show that several classical results on normal varieties extend to that setting, if the Zariski topology is replaced with the étale topology.