The main component of the toric Hilbert scheme

Details The main component of the toric Hilbert scheme The main component of the toric Hilbert scheme

2006-03-30

arxiv.org/abs/math/0603703v3

Mathematics

Algebraic Geometry

18 pages

Scientific paper

Let \X be an affine toric variety under a torus \T and let T be a subtorus. The general T-orbit closures in \X and their flat limits are parametrized by the main component H_0 of the toric Hilbert scheme. Further, the quotient torus \T/T acts on H_0 with a dense orbit. We describe the fan of this toric variety; this leads us to an integral analogue of the fiber polytope of Billera and Sturmfels. We also describe the relation of H_0 to the main component of the inverse limit of GIT quotients of \X by T.

Affiliated with

Also associated with

No associations

Rating

The main component of the toric Hilbert scheme 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 The main component of the toric Hilbert scheme, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The main component of the toric Hilbert scheme will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-141727