Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational curves on elliptic K3 surfaces   We prove that any non-isotrivial elliptic K3 surface over an algebraically
closed field $k$ of arbitrary characteristic contains infinitely many rational
curves. In the case when $\mathrm{char}(k)\neq 2,3$, we prove this result for
any elliptic K3 surface. When the characteristic of $k$ is zero, this result is
due to the work of Bogomolov-Tschinkel and Hassett.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
19
The categories of this paper are: eess
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th