Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear systems associated to unicuspidal rational plane curves   A curve C in the projective plane is called non-negative if the
self-intersection number of C after the minimal resolution of singularities of
C is non-negative. Given a unicuspidal rational plane curve C with singular
point P, we study the unique pencil Lambda_C on the projective plane satisfying
C is in Lambda_C and P is its unique base point. We show that the general
member of Lambda_C is a rational curve if and only if the curve C is
non-negative. We also show that in such a case then Lambda_C has a dicritical
of degree 1. Note that all currently known unicuspidal rational curves C in the
projective plane are non-negative.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga