Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson structures over a complete intersection with isolated
  singularities   We study Poisson structures over singular varieties. In this purpose, we
consider the Koszul complex associated to the equations of a complete
intersection. This complex forms a differential graded algebra which is
equivalent to the algebra of the variety. We show that a Poisson structure is
equivalent to a sequence of multiderivations over the Koszul complex. If our
variety has isolated singularities, then we can construct a sequence of
multiderivations of reduced form.

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The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ