Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bertini and Northcott   We prove a new Bertini-type Theorem with explicit control of the genus,
degree, height, and the field of definition of the constructed curve. As a
consequence we provide a general strategy to reduce certain height and rank
estimates on abelian varieties over a number field $K$ to the case of jacobian
varieties defined over a suitable extension of $K$.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin