Associated Forms: Current Progress and Open Problems
Let d≥3 , n≥2 . The object of our study is the morphism Φ , introduced in earlier articles by J. Alper, M. Eastwood and the author, that assigns to every homogeneous form of degree d on Cn for which the discriminant Δ does not vanish a form of degree n(d−2) on the dual space, called the associated form. This morphism is SLn -equivariant and is of interest in connection with the well-known Mather–Yau theorem, specifically, with the problem of explicit reconstruction of an...[Show more]
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