Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic surfaces and linear systems with fat points   We investigate the expected dimensionality of linear systems with general fat
points on certain surfaces using an approach by specialization to elliptic
surfaces. For the projectivization of the Atiyah bundle over an elliptic curve
with a certain polarization, we observe that the special case of only one fat
point implies the general case of arbitrarily many fat points, as well as
results concerning other surfaces. We conjecture that this special case holds
in characteristic 0, but prove that it fails in any positive characteristic.

10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an