Big Line Bundles over Arithmetic Varieties

Details Big Line Bundles over Arithmetic Varieties Big Line Bundles over Arithmetic Varieties

2006-12-15

arxiv.org/abs/math/0612424v2

Invent. math. 173, no. 3, 603-649 (2008)

Mathematics

Number Theory

Scientific paper

10.1007/s00222-008-0127-9

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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