Differentiability of the arithmetic volume function

Details Differentiability of the arithmetic volume function Differentiability of the arithmetic volume function

2008-12-15

arxiv.org/abs/0812.2857v3

Mathematics

Algebraic Geometry

Scientific paper

We introduce the positive intersection product in Arakelov geometry and prove
that the arithmetic volume function is continuously differentiable. As
applications, we compute the distribution function of the asymptotic measure of
a Hermitian line bundle and several other arithmetic invariants.

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