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arXiv · 1305.4830

Lattice point counting via Einstein metrics

Ziming Nikolas Ma·Naichung Conan Leung
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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.

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Ziming Nikolas Ma, Naichung Conan Leung. 2013-05-21. Lattice point counting via Einstein metrics. https://arxiv.org/abs/1305.4830

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