Linear degenerations of Schubert varieties

Abstract

We define linear degenerations of Schubert varieties via a special class of quiver Grassmannians. To do so, we restrict our study to an appropriate subvariety in the variety of representations of the considered quiver and describe a base change action on this subvariety. We provide two explicit parametrisations for the orbits of this action, one of which encodes the partial order relations on such orbits.