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- W4297883370 abstract "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 and smoothable rank. We analyze the stratification induced by these ranks. The mutual relations between these stratifications, allow us to describe the hierarchy among all the ranks. We show that strict inequalities are possible between rank, border rank, extension rank and catalecticant rank. Moreover we show that scheme length, generalized rank and extension rank coincide." @default.
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- W4297883370 date "2012-10-30" @default.
- W4297883370 modified "2023-09-26" @default.
- W4297883370 title "A comparison of different notions of ranks of symmetric tensors" @default.
- W4297883370 doi "https://doi.org/10.48550/arxiv.1210.8169" @default.
- W4297883370 hasPublicationYear "2012" @default.
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