Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism groups of rigid geometries on leaf spaces of foliations   We introduce a category of rigid geometries on singular spaces which are leaf
spaces of foliations and are considered as leaf manifolds. We single out a
special category $\mathfrak F_0$ of leaf manifolds containing the orbifold
category as a full subcategory. Objects of $\mathfrak F_0$ may have
non-Hausdorff topology unlike the orbifolds. The topology of some objects of
$\mathfrak F_0$ does not satisfy the separation axiom $T_0$. It is shown that
for every ${\mathcal N}\in Ob(\mathfrak F_0)$ a rigid geometry $\zeta$ on
$\mathcal N$ admits a desingularization. Moreover, for every such $\mathcal N$
we prove the existence and the uniqueness of a finite dimensional Lie group
structure on the automorphism group $Aut(\zeta)$ of the rigid geometry $\zeta$
on $\mathcal{N}$.

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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph