Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson deformations of affine symplectic varieties   We shall prove that the Poisson deformation functor of an affine (singular)
symplectic variety is unobstructed. As a corollary, we prove the following
result.
  Theorem: For an affine symplectic variety $X$ with a good $C^*$-action (where
its natural Poisson structure is positively weighted), the following are
equivalent
  (1) $X$ has a crepant projective resolution. (2) $X$ has a smoothing by a
Poisson deformation.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga