On Volumes of Arithmetic Line Bundles II

Details On Volumes of Arithmetic Line Bundles II On Volumes of Arithmetic Line Bundles II

2009-09-21

arxiv.org/abs/0909.3680v1

Mathematics

Algebraic Geometry

Scientific paper

For a hermitian line bundle over an arithmetic variety, we construct a convex
continuous function on the Okounkov body associated to the generic fibre of the
line bundle. The integration of the continuous function gives the growth of the
Euler characteristic of the hermitian line bundle. It is the global version of
the recent work of Nystrom.

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