Intersection numbers of extremal rays on holomorphic symplectic varieties

Details Intersection numbers of extremal rays on holomorphic symplectic varieties Intersection numbers of extremal rays on holomorphic symplectic varieties

2009-09-25

arxiv.org/abs/0909.4745v2

Mathematics

Algebraic Geometry

24 pages; revision based on comments from the referees and results of Eyal Markman (arXiv:0912.4981)

Scientific paper

We propose a general framework governing the intersection properties of extremal rays of irreducible holomorphic symplectic manifolds under the Beauville-Bogomolov form. Our main thesis is that extremal rays associated to Lagrangian projective subspaces control the behavior of the cone of curves. We explore implications of this philosophy for examples like Hilbert schemes of points on K3 surfaces and generalized Kummer varieties. We also collect evidence supporting our conjectures in specific cases.

Affiliated with

Also associated with

No associations

Rating

Intersection numbers of extremal rays on holomorphic symplectic varieties 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 Intersection numbers of extremal rays on holomorphic symplectic varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Intersection numbers of extremal rays on holomorphic symplectic varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-326374