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 ℙU⊗V⊗W).
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Ng, K.O. The moduli space of (3,3,3) trilinear forms. Manuscripta Math 88, 87–107 (1995). https://doi.org/10.1007/BF02567808
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DOI: https://doi.org/10.1007/BF02567808