Lattice point counting via Einstein metrics
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🧮 math.DG
math.CO
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conelatticeassociatedcountingeinsteinestimateformulafutaki-ono-wang
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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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