Factorial algebraic group actions and categorical quotients

Details Factorial algebraic group actions and categorical quotients Factorial algebraic group actions and categorical quotients

2009-08-04

arxiv.org/abs/0908.0443v3

Mathematics

Algebraic Geometry

new result added, 12 pages

Scientific paper

Given an action of an affine algebraic group with only trivial characters on a factorial variety, we ask for categorical quotients. We characterize existence in the category of algebraic varieties. Moreover, allowing constructible sets as quotients, we obtain a more general existence result which, for example, settles the case of a finitely generated algebra of invariants. As an application, we provide a combinatorial GIT-type construction of categorial quotients for actions on, e.g. complete varieties with finitely generated Cox ring via lifting to the characteristic space.

Affiliated with

Also associated with

No associations

Rating

Factorial algebraic group actions and categorical quotients 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 Factorial algebraic group actions and categorical quotients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorial algebraic group actions and categorical quotients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557133