Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic singularities from the Poisson point of view   We consider symplectic singularities in the sense of A. Beauville as examples
of Poisson schemes. Using Poisson methods, we prove that a symplectic
singularity admits a finite stratification with smooth symplectic strata. We
also prove that in the formal neighborhood of a closed point in some stratum,
the singularity is a product of the stratum and a transversal slice. The
transversal slice is also a symplectic singularity, and the product
decomposition is compatible with natural Poisson structures. Moreover, we prove
that the transversal slice admits a $C^*$-action dilating the symplectic form.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics