Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transcendental Liouville inequalities on projective varieties   Let $p$ be an algebraic point of a projective variety $X$ defined over a
number field. Liouville inequality tells us that the norm at $p$ of a non
vanishing integral global section of an hermitian line bundle over $X$ is
either zero or it cannot be too small with respect to the $\sup$ norm of the
section itself. We study inequalities similar to Liouville's for subvarietes
and for transcendental points of a projective variety defined over a number
field. We prove that almost all transcendental points verify a good inequality
of Liouville type. We also relate our methods to a (former) conjecture by
Chudnowsky and give two applications to the growth of the number of rational
points of bounded height on the image of an analytic map from a disk to a
projective variety.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th