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.
Schubert Quiver Grassmannians / CERULLI IRELLI, Giovanni; Feigin, Evgeny; Reineke, Markus. - In: ALGEBRAS AND REPRESENTATION THEORY. - ISSN 1386-923X. - STAMPA. - 20:1(2017), pp. 147-161. [10.1007/s10468-016-9634-3]
Schubert Quiver Grassmannians
CERULLI IRELLI, GIOVANNI;
2017
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 Poincar´e polynomials of these quiver Grassmannians.| File | Dimensione | Formato | |
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