Let A be a tame quasi-tilted algebra and d the dimension vector of an indecomposable A-module. In the paper we prove that each irreducible component of the variety of A-modules of dimension vector d is regular in codimension one.
Canonical tilting modules over shod algebras are regular in codimension one
$τ$-Tilting Finiteness of Non-distributive Algebras and their Module Varieties
Orbit closures of directing modules are regular in codimension one
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