Big line bundles over arithmetic varieties

  title={Big line bundles over arithmetic varieties},
  author={Xinyi Yuan},
  journal={Inventiones mathematicae},
  • Xinyi Yuan
  • Published 15 December 2006
  • Mathematics
  • Inventiones mathematicae
We prove a Hilbert-Samuel type result of arithmetic big line bundles in Arakelov geometry, which is an analogue of a classical theorem of Siu. An application of this result gives equidistribution of small points over algebraic dynamical systems, following the work of Szpiro-Ullmo-Zhang. We also generalize Chambert-Loir's non-archimedean equidistribution. 
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