4 papers
Topology and Euler characteristics of tropical varieties
Scott Hiatt, Connor Simpson, Botong Wang +1
We study Euler characteristics of tropical subvarieties of tropical abelian varieties. We prove that every H-regular subvariety, locally modeled on tropicalizations of sufficiently…
Toric varieties modulo reflections
Colin Crowley, Tao Gong, Connor Simpson
Let be a finite group generated by reflections of a lattice . If a lattice polytope is preserved by , then we show that the quo…
Combinatorial flats and Schubert varieties of subspace arrangements
Colin Crowley, Connor Simpson, Botong Wang
The lattice of flats of a matroid is combinatorially well-behaved and, when is realizable, admits a geometric model in the form of a "Schubert variety of hyp…
A new generic vanishing theorem on homogeneous varieties and the positivity conjecture for triple intersections of Schubert cells
Jörg Schürmann, Connor Simpson, Botong Wang
In this paper we prove a new generic vanishing theorem for a complete homogeneous variety with respect to an action of a connected algebraic group. Let be loc…