11. Canonical triangulations of dilates (23.06.15).

Aim of the talk: Show that the dilate of a triangulation has a regular refinement triangulation into simplices of the same volume which is canonical once an ordering of the vertices is chosen.

Details: Review regular subdivisions (yielding projective morphisms). Define type-$A$ dicings [HPPS14, §3.1.1], ordered simplex, canonical triangulation of dilate. Prove [HPPS14, Theorem 4.10 (1-3)].

N.N.