Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On integral Zariski decompositions of pseudoeffective divisors on
  algebraic surfaces   In this note we consider the problem of integrality of Zariski decompositions
for pseudoeffective integral divisors on algebraic surfaces. We show that while
sometimes integrality of Zariski decompositions forces all negative curves to
be $(-1)$-curves, there are examples where this is not true.

35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex