Upgrading and Downgrading Torus Actions

Details Upgrading and Downgrading Torus Actions Upgrading and Downgrading Torus Actions

2011-03-21

arxiv.org/abs/1103.4010v1

Mathematics

Algebraic Geometry

29 pages, 10 figures

Scientific paper

K. Altmann and J. Hausen have shown that affine T-varieties can be described in terms of p-divisors. Given a p-divisor describing a T-variety X, we show how to construct new p-divisors describing X with respect to actions by larger tori. Conversely, if dim T=dim X-1, we show how to construct new p-divisors describing X with respect to actions by closed subtori of T. As a first application, we give explicit constructions for the p-divisors describing certain Cox rings. Furthermore, we show how to upgrade the p-divisors describing the total spaces of homogeneous deformations of toric varieties.

Affiliated with

Also associated with

No associations

Rating

Upgrading and Downgrading Torus 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 Upgrading and Downgrading Torus Actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upgrading and Downgrading Torus Actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323214