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- W2913048106 abstract "We show that if a homogeneous polynomial $f$ in $n$ variables has Waring rank $n+1$, then the corresponding projective hypersurface $f=0$ has at most isolated singularities, and the type of these singularities is completely determined by the combinatorics of a hyperplane arrangement naturally associated with the Waring decomposition of $f$. We also discuss the relation between the Waring rank and the type of singularities on a plane curve, when this curve is defined by the suspension of a binary form, or when the Waring rank is 5." @default.
- W2913048106 created "2019-02-21" @default.
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- W2913048106 date "2019-02-04" @default.
- W2913048106 modified "2023-09-25" @default.
- W2913048106 title "Waring rank of symmetric tensors, and singularities of some projective hypersurfaces" @default.
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