On moduli spaces for quasitilted algebras

Abstract

We prove that if a quasitilted algebra is tame, then the associated moduli spaces are products of projective spaces. Together with an earlier result of Chindris this gives a geometric characterization of the tame quasitilted algebras. In our proof we use knowledge of the representation theory of the tame quasitilted algebras and a construction of semi-invariants as determinants.