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Lattice points counting via Einstein metrics

Conan Leung The Chinese University of Hong Kong Ziming Ma The Chinese University of Hong Kong

mathscidoc:1608.01044

JDG, 92, 55-69, 2012
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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[ Download ] [ 2016-08-28 21:53:11 uploaded by conan ] [ 900 downloads ] [ 0 comments ] 
@inproceedings{conan2012lattice,
  title={Lattice points counting via Einstein metrics},
  author={Conan Leung, and Ziming Ma},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828215311283817524},
  booktitle={JDG},
  volume={92},
  pages={55-69},
  year={2012},
}
Conan Leung, and Ziming Ma. Lattice points counting via Einstein metrics. 2012. Vol. 92. In JDG. pp.55-69. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828215311283817524.
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