Hilbert scheme of a pair of codimension two linear subspaces

Details Hilbert scheme of a pair of codimension two linear subspaces Hilbert scheme of a pair of codimension two linear subspaces

2009-09-28

arxiv.org/abs/0909.5170v1

Mathematics

Algebraic Geometry

Scientific paper

We study the component H_n of the Hilbert scheme whose general point parameterizes a pair of codimension two linear subspaces in P^n for n > 2. We show that H_n is smooth and isomorphic to the blow-up of the symmetric square of G(n-2,n) along the diagonal. Further H_n intersects only one other component in the full Hilbert scheme, transversely. We determine the stable base locus decomposition of its effective cone and give modular interpretations of the corresponding models, hence conclude that H_n is a Mori dream space.

Affiliated with

Also associated with

No associations

Rating

Hilbert scheme of a pair of codimension two linear subspaces 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 Hilbert scheme of a pair of codimension two linear subspaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hilbert scheme of a pair of codimension two linear subspaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235825