On the zero set of semi-invariants for tame quivers (Q1881555)

Let \(d\) be a prehomogeneous dimension vector for a finite tame quiver \(Q\). The authors show that the common zeroes of all non-constant semi-invariants for the variety of representations of \(Q\) with dimension vector \(N\cdot d\), under the product of the general linear groups at all vertices, is a complete intersection for \(N\geq 3\).