JournalscmhVol. 79, No. 2pp. 350–361

On the zero set of semi-invariants for tame quivers

  • Grzegorz Zwara

    Nicolaus Copernicus University, Torun, Poland
  • Christine Riedtmann

    Universität Bern, Switzerland
On the zero set of semi-invariants for tame quivers cover
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Abstract

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 NdN\cdot\mathbf d, under the product of the general linear groups at all vertices, is a complete intersection for N3N\geq 3.

Cite this article

Grzegorz Zwara, Christine Riedtmann, On the zero set of semi-invariants for tame quivers. Comment. Math. Helv. 79 (2004), no. 2, pp. 350–361

DOI 10.1007/S00014-003-0797-2