Complete intersections and movable curves on the moduli space of six-pointed rational curves

Details Complete intersections and movable curves on the moduli space of six-pointed rational curves Complete intersections and movable curves on the moduli space of six-pointed rational curves

2012-03-21

arxiv.org/abs/1203.4686v1

Mathematics

Algebraic Geometry

15 pages, 1 figure. Comments welcome

Scientific paper

A curve on a projective variety is called movable if it belongs to an algebraic family of curves covering the variety. We consider when the cone of movable curves can be characterized without existence statements of covering families by studying the complete intersection cone on a family of blow-ups of complex projective space, including the moduli space of stable six-pointed rational curves, $\bar{M}_{0,6}$, and the permutohedral or Losev-Manin moduli space of four-pointed rational curves. Our main result is that the movable and complete intersection cones coincide for the toric members of this family, but differ for the non-toric member, $\bar{M}_{0,6}$. The proof is via an algorithm that applies in greater generality. We also give an example of a projective toric threefold for which these two cones differ.

Affiliated with

Also associated with

No associations

Rating

Complete intersections and movable curves on the moduli space of six-pointed rational curves 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 Complete intersections and movable curves on the moduli space of six-pointed rational curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete intersections and movable curves on the moduli space of six-pointed rational curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488416