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Quantum Kostka and the rank one problem for $\mathfrak{sl}_{2m}$
Published 27 Aug 2015 in math.AG | (1508.06952v1)
Abstract: We give necessary and sufficient conditions to specify vector bundles of conformal blocks for $\mathfrak{sl}_{2m}$ with rectangular weights which have ranks zero, one, and larger than one. First Chern classes of rank one bundles are shown to determine a finitely generated subcone of the nef cone.
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