Type A quiver loci and Schubert varieties

@article{Kinser2013TypeAQ,
title={Type A quiver loci and Schubert varieties},
author={Ryan Kinser and Jenna Rajchgot},
journal={Journal of Commutative Algebra},
year={2013},
volume={7},
pages={265-301}
}
• Published 23 July 2013
• Mathematics
• Journal of Commutative Algebra
We describe a closed immersion from each representation space of a type A quiver with bipartite (i.e., alternating) orientation to a certain opposite Schubert cell of a partial flag variety. This "bipartite Zelevinsky map" restricts to an isomorphism from each orbit closure to a Schubert variety intersected with the above-mentioned opposite Schubert cell. For type A quivers of arbitrary orientation, we give the same result up to some factors of general linear groups. These identifications…

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