most recent 30 from http://mathoverflow.net 2013-05-21T15:21:36Z http://mathoverflow.net/feeds/question/113808 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/113808/group-action-on-brauer-severi-varieties Peter 2012-11-19T08:34:54Z 2012-11-19T08:34:54Z

<p>Let X be a Brauer-Severi variety over k. I have understand that the automorphism scheme Aut_{X/k}=G as a group scheme acts on X via (m,pr_2):GxX /rightarrow XxX (multiplication morphism) and that this morphism is surjectiv. </p> <p>But what is about the action of Aut_{X/k}(k) on X?</p> <p>Is there for example a transitiv action of Aut_{X/k}(k) on the closed points of X?</p> <p>Or what kind of assumption is needed to get this?</p>