Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smallness problem for quantum affine algebras and quiver varieties   The geometric small property (Borho-MacPherson) of projective morphisms
implies a description of their singularities in terms of intersection homology.
In this paper we solve the smallness problem raised by Nakajima
(math.QA/0105173) for certain resolutions of quiver varieties (analogs of the
Springer resolution) : for Kirillov-Reshetikhin modules of simply-laced quantum
affine algebras, we characterize explicitly the Drinfeld polynomials
corresponding to the small resolutions. We use an elimination theorem for
monomials of Frenkel-Reshetikhin q-characters that we establish for non
necessarily simply-laced quantum affine algebras. We also refine results of
(math.QA/0501202) and extend the main result to general simply-laced quantum
affinizations, in particular to quantum toroidal algebras (double affine
quantum algebras).

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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org