Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous cubic congruences and rational points on del Pezzo
  surfaces   For given non-zero integers a,b,q we investigate the density of integer
solutions (x,y) to the binary cubic congruence ax^2+by^3=0 (mod q). We use this
to establish the Manin conjecture for a singular del Pezzo surface of degree 2
defined over the rationals and to examine the distribution of elliptic curves
with square-free discriminant.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con