Computing symmetric rank for symmetric tensors |
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| Authors: | Alessandra Bernardi,Alessandro Gimigliano,Monica Idà |
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| Affiliation: | a CIRM-FBK, Trento, Italyb Dip. di Matematica and C.I.R.A.M., Univ. degli Studi di Bologna, Italyc Dip. di Matematica, Univ. degli Studi di Bologna, Italy |
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| Abstract: | We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for 2×?×2 tensors and for tensors of small border rank. From a geometric point of view, we describe the symmetric rank strata for some secant varieties of Veronese varieties. |
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| Keywords: | Symmetric tensor Tensor rank Secant variety |
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