most citedA comparison of different notions of ranks of symmetric tensors

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math.AG2012★ 3 cited

A comparison of different notions of ranks of symmetric tensors

Alessandra Bernardi, Jérôme Brachat, Bernard Mourrain

We introduce various notions of rank for a symmetric tensor, namely: rank, border rank, catalecticant rank, generalized rank, scheme length, border scheme length, extension rank an…