Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Np property of rational surfaces   In this paper, we examine Green and Lazarsfeld's Np property for rational
surfaces obtained by blowing up the projective plane P^2 at a subscheme of fat
points Z. We show that these surfaces, embedded into projective spaces by
linear system of plane curves of degree t containing Z, possess property Np for
all t >> 0. This gives a positive answer to a conjecture of Geramita and
Gimigliano. Our bound for the values t is better than the conjectural value,
which is \sigma(Z) + p.

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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int