Schubert Quiver Grassmannians
Algebraic Geometry
2015-08-04 v1 Representation Theory
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.
Cite
@article{arxiv.1508.00264,
title = {Schubert Quiver Grassmannians},
author = {Giovanni Cerulli Irelli and Evgeny Feigin and Markus Reineke},
journal= {arXiv preprint arXiv:1508.00264},
year = {2015}
}