# Big line bundles over arithmetic varieties

@article{Yuan2008BigLB, title={Big line bundles over arithmetic varieties}, author={Xinyi Yuan}, journal={Inventiones mathematicae}, year={2008}, volume={173}, pages={603-649} }

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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