Let d be a prehomogeneous dimension vector for a finite tame quiver Q. We show that the common zeros of all non-constant semi-invariants for the variety of representations of Q with dimension vector , under the product of the general linear groups at all vertices, is a complete intersection for .
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Grzegorz Zwara, Christine Riedtmann, On the zero set of semi-invariants for tame quivers. Comment. Math. Helv. 79 (2004), no. 2, pp. 350–361DOI 10.1007/S00014-003-0797-2