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Working paper

Schubert Quiver Grassmannians

math. arxive. Cornell University, 2015. No. 1508.00264.
Cerulli Irelli G., Feigin E., Reineke M.
Quiver Grassmannians are projective varieties parametrizing subrepresentations of given dimension in a quiver representation. We define a class of quiver Grassmannians generalizing those which realize degenerate flag varieties. We show that each irreducible component of the quiver Grassmannians in question is isomorphic to a Schubert variety. We give an explicit description of the set of irreducible components, identify all the Schubert varieties arising, and compute the Poincar\'e polynomials of these quiver Grassmannians.