Birational isomorphisms between twisted group actions

Details Birational isomorphisms between twisted group actions Birational isomorphisms between twisted group actions

2005-04-14

arxiv.org/abs/math/0504306v1

Journal of Lie Theory 16 (2006), no. 4, 791--802.

Mathematics

Algebraic Geometry

13 pages

Scientific paper

Let X be an algebraic variety with a generically free action of a connected algebraic group G. Given an automorphism u of G, we will denote by X^u the same variety X with the G-action given by twisted by u. V. L. Popov asked if X and X^u are always G-equivariantly birationally isomorphic. We construct examples to show that this is not the case in general, but we prove that X and X^u are always stably birationally isomorphic, i.e., birationally isomorphic after taking products with an affine space with trivial G-action.

Affiliated with

Also associated with

No associations

Rating

Birational isomorphisms between twisted group actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Birational isomorphisms between twisted group actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birational isomorphisms between twisted group actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146105