Toric manifolds with degenerate dual variety and defect polytopes

Details Toric manifolds with degenerate dual variety and defect polytopes Toric manifolds with degenerate dual variety and defect polytopes

2003-05-09

arxiv.org/abs/math/0305150v2

Mathematics

Algebraic Geometry

14 pages, 2 figures. Reference [GKZ] added. A new invariant is introduced. The statement 3.4 is proved for simple polytopes

Scientific paper

We classify projective toric manifolds whose dual variety is not a hypersurface in the dual projective space. Under the standard dictionary between toric geometry and convex geometry, they correspond to certain convex Delzant integer polytopes, P, which we call defect polytopes. Using the geometrical classification we give a detailed description of defect polytopes and prove that they are characterized by the vanishing of a combinatorial invariant, denoted by c(P). We further prove that a related invariant, c*(P), is nonnegative, for any simple convex integral polytope.

Affiliated with

Also associated with

No associations

Rating

Toric manifolds with degenerate dual variety and defect polytopes 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 Toric manifolds with degenerate dual variety and defect polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toric manifolds with degenerate dual variety and defect polytopes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155084