Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic cycles of standard modules for the rational Cherednik
  algebra of type Z/lZ   We study the representation theory of the rational Cherednik algebra
$H_\kappa = H_\kappa({\mathbb Z}_l)$ for the cyclic group ${\mathbb Z}_l =
{\mathbb Z} / l {\mathbb Z}$ and its connection with the geometry of the quiver
variety $M_\theta(\delta)$ of type $A_{l-1}^{(1)}$.
  We consider a functor between the categories of $H_\kappa$-modules with
different parameters, called the shift functor, and give the condition when it
is an equivalence of categories.
  We also consider a functor from the category of $H_\kappa$-modules with good
filtration to the category of coherent sheaves on $M_\theta(\delta)$. We prove
that the image of the regular representation of $H_\kappa$ by this functor is
the tautological bundle on $M_\theta(\delta)$. As a corollary, we determine the
characteristic cycles of the standard modules. It gives an affirmative answer
to a conjecture given in [Gordon, arXiv:math/0703150v1] in the case of
${\mathbb Z}_l$.

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The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: atom-ph