Lattice point counting via Einstein metrics
Differential Geometry
2013-05-22 v1 Combinatorics
Abstract
We obtain a growth estimate for the number of lattice points inside any Q-Gorenstein cone. Our proof uses the result of Futaki-Ono-Wang on Sasaki-Einstein metric for the toric Sasakian manifold associated to the cone, a Yau's inequality, and the Kawasaki-Riemann-Roch formula for orbifolds.
Cite
@article{arxiv.1305.4830,
title = {Lattice point counting via Einstein metrics},
author = {Ziming Nikolas Ma and Naichung Conan Leung},
journal= {arXiv preprint arXiv:1305.4830},
year = {2013}
}