Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On surfaces with a canonical pencil   We classify the minimal surfaces of general type with $K^2 \leq 4\chi-8$
whose canonical map is composed with a pencil, up to a finite number of
families.
  More precisely we prove that there is exactly one irreducible family for each
value of $\chi \gg 0$, $4\chi-10 \leq K^2 \leq 4\chi-8$. All these surfaces are
complete intersections in a toric $4-$fold and bidouble covers of Hirzebruch
surfaces. The surfaces with $K^2=4\chi-8$ were previously constructed by
Catanese as bidouble covers of $\PP^1 \times \PP^1$.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics