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arXiv · 1508.00264

Schubert Quiver Grassmannians

Giovanni Cerulli Irelli·Evgeny Feigin·Markus Reineke
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Abstract

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 Poincaré polynomials of these quiver Grassmannians.

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Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke. 2015-08-02. Schubert Quiver Grassmannians. https://arxiv.org/abs/1508.00264

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