Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-exactness of toric Poisson structures   We prove that a Poisson structure on a projective toric variety which is
invariant by the torus action and whose symplectic leaves are the torus orbits
is not exact. This is deduced from a geometric criterion for non-exactness of
Poisson structures with a finite number of symplectic leaves.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int