KählerEinstein potential on simple polytope
Add to your list(s)
Download to your calendar using vCal
 Éveline Legendre (Toulouse)
 Wednesday 06 March 2013, 14:1515:15
 MR 13, CMS.
If you have a question about this talk, please contact Dr. J Ross.
I will explain how any simple polytope can be labelled to satisfy the combinatorial condition of being monotone with a vanishing Futaki invariant. Using the WangZhu theorem for orbifolds, we obtain that every lattice simple polytope is the moment polytope of a KählerEinstein orbifold unique up to covering and dilatation. Extending Donaldson’s alternative proof of the WangZhu theorem to any simple polytope, we get that they all carry a KählerEinstein potential. In the Delzant case, this potential gives a KählerEinstein metric (with conical singularity along a divisor) on the associated (smooth) symplectic toric manifold.
This talk is part of the Algebraic Geometry Seminar series.
This talk is included in these lists:
Note that exdirectory lists are not shown.
