Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compatible quadratic Poisson brackets related to a family of elliptic
  curves   We construct nine pairwise compatible quadratic Poisson structures such that
a generic linear combination of them is associated with an elliptic algebra in
n generators. Explicit formulas for Casimir elements of this elliptic Poisson
structure are obtained.

26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int