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On Waring’s problem for partially symmetric tensors

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Abstract

Here we address a Waring type problem for partially symmetric tensors, extending previous work by Massimiliano Mella in the totally symmetric case of forms. In particular, we provide an explicit answer in lower dimensional cases.

Keywords: Waring problem, Partially symmetric tensor, Segre-Veronese embedding, Noether-Fano inequality, Weakly defective variety

Mathematics Subject Classification (2000): 14N05

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Fontanari, C. On Waring’s problem for partially symmetric tensors. Ann. Univ. Ferrara 52, 37–43 (2006). https://doi.org/10.1007/s11565-006-0003-8

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  • DOI: https://doi.org/10.1007/s11565-006-0003-8

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