Journal article
Type A quiver loci and Schubert varieties
Abstract
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 …
Authors
Kinser R; Rajchgot J
Journal
Journal of Commutative Algebra, Vol. 7, No. 2, pp. 265–301
Publisher
Rocky Mountain Mathematics Consortium
DOI
10.1216/jca-2015-7-2-265
ISSN
1939-0807