Ranks and symmetric ranks of cubic surfaces

We study cubic surfaces as symmetric tensors of format 4 × 4 × 4. We consider the non-symmetric tensor rank and the symmetric Waring rank of cubic surfaces, and show that the two notions coincide over the complex numbers. The corresponding algebraic problem concerns border ranks. We show that the no...

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Bibliografiska uppgifter
Huvudupphovsman: Seigal, A
Materialtyp: Journal article
Språk:English
Publicerad: Elsevier 2019