English

On linearization of line bundles

Algebraic Geometry 2014-10-22 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1312.6267,
  title  = {On linearization of line bundles},
  author = {Michel Brion},
  journal= {arXiv preprint arXiv:1312.6267},
  year   = {2014}
}

Comments

Final version, to appear at J. Math. Sci. Univ. Tokyo, 26 pages

R2 v1 2026-06-22T02:33:21.686Z