Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local heights of toric varieties over non-archimedean fields   We generalize results about local heights previously proved in the case of
discrete absolute values to arbitrary non-archimedean absolute values of rank
1. First, this is done for the induction formula of Chambert-Loir and
Thuillier. Then we prove the formula of Burgos--Philippon--Sombra for the toric
local height of a proper normal toric variety in this more general setting. We
apply the corresponding formula for Moriwaki's global heights over a finitely
generated field to a fibration which is generically toric. We illustrate the
last result in a natural example where non-discrete non-archimedean absolute
values really matter.

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The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph