Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class

E. Javier Elizondo, Alex Fink, Cristhian Garay López

Let $\mathbb{G}(d,n)$ be the complex Grassmannian of affine $d$-planes in $n$-space. We study the problem of characterizing the set of algebraic subvarieties of $\mathbb{G}(d,n)$ i…