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Big Line Bundles over Arithmetic Varieties

Xinyi Yuan
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Abstract

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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Xinyi Yuan. 2012-01-11. Big Line Bundles over Arithmetic Varieties. https://doi.org/10.1007/s00222-008-0127-9

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