4 papers
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…
An overview of horospherical varieties and coloured fans
Sean Monahan
We provide an overview of the combinatorial theory of horospherical varieties using coloured fans, a generalization of the combinatorial theory of toric varieties using polyhedral…
Horospherical stacks and stacky coloured fans
Sean Monahan
We introduce a combinatorial theory of horospherical stacks which is motivated by the work of Geraschenko and Satriano on toric stacks. A horospherical stack corresponds to a combi…
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 resul…