4 papers
The virtual Euler characteristic for binary matroids
Madeline Brandt, Juliette Bruce, Daniel Corey
Inspired by Kontsevich's graphic orbifold Euler characteristic we define a virtual Euler characteristic for any finite set of isomorphism classes of matroids of rank . Our main…
Regular subdivisions, bounds on initial ideals, and categorical limits
George Balla, Daniel Corey, Igor Makhlin +1
Several known constructions relate initial degenerations of projective toric varieties and Grassmannians to regular subdivisions of appropriate point configurations. We define a ge…
Tropical Abel-Jacobi theory
Omid Amini, Daniel Corey, Leonid Monin
To a compact tropical variety of arbitrary dimension, we associate a collection of intermediate Jacobians defined in terms of tropical homology and tropical monodromy. We then deve…
Singular matroid realization spaces
Daniel Corey, Dante Luber
We study smoothness of realization spaces of matroids for small rank and ground set. For -realizable matroids, when the rank is , we prove that the realization space…