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no. 5
A characteristic free approach to secant varieties of triple Segre products
Conca, Aldo1; De Negri, Emanuela1; Stojanac, Željka2
1 Dipartimento di Matematica Università di Genova via Dodecaneso 35 Genova Italy
2 Institute for Theoretical Physics University of Cologne Germany
Algebraic Combinatorics, Volume 3 (2020) no. 5, pp. 1011-1021.

The goal of this short note is to study the secant varieties of the Segre embedding of the product ℙ 1 ×ℙ a-1 ×ℙ b-1 by means of the standard tools of combinatorial commutative algebra. We reprove and extend to arbitrary characteristic the results of Landsberg and Weyman [] regarding the defining ideal and the Cohen–Macaulay property of the secant varieties. Furthermore we compute their degrees and give a bound for their Castelnuovo–Mumford regularities, which are sharp in many cases.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.115
Classification: 13C40, 05E40, 13P20
Keywords: Segre products, secant varieties, Gröbner bases, tensors.

Conca, Aldo 1; De Negri, Emanuela 1; Stojanac, Željka 2

1 Dipartimento di Matematica Università di Genova via Dodecaneso 35 Genova Italy
2 Institute for Theoretical Physics University of Cologne Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Conca, Aldo; De Negri, Emanuela; Stojanac, Željka. A characteristic free approach to secant varieties of triple Segre products. Algebraic Combinatorics, Volume 3 (2020) no. 5, pp. 1011-1021. doi : 10.5802/alco.115. https://alco.centre-mersenne.org/articles/10.5802/alco.115/

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