, Volume 88, Issue 1, pp 87-107

The moduli space of (3,3,3) trilinear forms

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Abstract

LetU, V andW be three dimensional vector spaces over ∉ (or an alebraically closed field with characteristic not equal to 2 or 3). We prove that the moduli space of trilinear forms onU *V *W * is isomorphic to ℙ2 by applying Geometric Invariant Theory to the action ofPGL(U)×PGL(V)×PGL(W) on ℙUVW).