Connor Simpson

collaborators

2 papers

math.CO2023

Total positivity for matroid Schubert varieties

Xuhua He, Connor Simpson, Kaitao Xie

We define the totally nonnegative matroid Schubert variety $Y_{V}$ of a linear subspace $V \subset R^{n}$ . We show that $Y_{V}$ is a regular CW complex homeomor…

math.AG2023

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 $X$ a complete homogeneous variety with respect to an action of a connected algebraic group. Let $A, B_{0} \subset X$ be loc…