Abstract
We obtain a growth estimate for the number of lattice points inside any $\mathbb{Q}$-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.
Citation
Naichung Conan Leung. Ziming Nikolas Ma. "Lattice points counting via Einstein metrics." J. Differential Geom. 92 (1) 55 - 69, September 2012. https://doi.org/10.4310/jdg/1352211223
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