Canonical tilting modules over shod algebras are regular in codimension one

TL;DR

This paper proves that for certain modules over shod algebras, including canonical tilting modules, the orbit closures in module varieties are smooth in codimension one, advancing understanding of their geometric properties.

Contribution

It establishes the regularity in codimension one of orbit closures for canonical tilting modules over shod algebras, a new geometric insight in representation theory.

Findings

Orbit closures are regular in codimension one

Includes canonical tilting modules in the class of modules studied

Provides geometric regularity results for shod algebras

Abstract

We show that for a class of modules over shod algebras, including the canonical tilting modules, the closures of the corresponding orbits in module varieties are regular in codimension one.