Sean Monahan

collaborators

3 papers

math.AG2024

Horospherical varieties with quotient singularities

Sean Monahan

Our main result is a combinatorial characterization of when a horospherical variety has (at worst) quotient singularities. Using this characterization, we show that every quasiproj…

math.CO2024

There are no good infinite families of toric codes

Jason P. Bell, Sean Monahan, Matthew Satriano +2

Soprunov and Soprunova introduced the notion of a good infinite family of toric codes. We prove that such good families do not exist by proving a more general Szemerédi-type result…

math.AG2023

Approximating rational points on horospherical varieties

Sean Monahan, Matthew Satriano

Let $X$ be a smooth projective split horospherical variety over a number field $k$ and $x \in X (k)$ . Contingent on Vojta's conjecture, we construct a curve $C$ through $x$ such that…