Colin Crowley

collaborators

2 papers

math.CO2024

Toric varieties modulo reflections

Colin Crowley, Tao Gong, Connor Simpson

Let $W$ be a finite group generated by reflections of a lattice $M$ . If a lattice polytope $P \subset M \otimes_{Z} R$ is preserved by $W$ , then we show that the quo…

math.AG2024

Combinatorial flats and Schubert varieties of subspace arrangements

Colin Crowley, Connor Simpson, Botong Wang

The lattice of flats $L_{M}$ of a matroid $M$ is combinatorially well-behaved and, when $M$ is realizable, admits a geometric model in the form of a "Schubert variety of hyp…