Higher secant varieties of <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math> embedded in bi-degree <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-Reference-Cited by-同舟云学术

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Higher secant varieties of Pn×Pm embedded in bi-degree (1,d)

Published:2011-12 Issue:12 Volume:215 Page:2853-2858
ISSN:0022-4049
Container-title:Journal of Pure and Applied Algebra
language:en
Short-container-title:Journal of Pure and Applied Algebra

Author:

Bernardi Alessandra,Carlini Enrico,Catalisano Maria Virginia

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference33 articles.

1. About the defectivity of certain Segre–Veronese varieties;Abrescia;Canad. J. Math.,2008

2. Secant varieties of Segre–Veronese varieties Pm×Pn embedded by O(1,2);Abo;Experiment. Math.,2009

3. H. Abo, M.C. Brambilla, On the dimensions of secant varieties of Segre–Veronese varieties, preprint (2009), Available from: arXiv:0912.4342.

4. On the virtual array concept for higher order array processing;Albera;IEEE Trans. Signal Process.,2005

5. Polynomial interpolation in several variables;Alexander;J. Algebraic Geom.,1995

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1. Tensoring by a plane maintains secant-regularity in degree at least two;Annali di Matematica Pura ed Applicata (1923 -);2024-08-05

2. On the non-defectivity of Segre–Veronese embeddings;Mathematische Zeitschrift;2024-07-27

3. Secant non-defectivity via collisions of fat points;Advances in Mathematics;2022-11

4. On secant dimensions and identifiability of flag varieties;Journal of Pure and Applied Algebra;2022-06

5. On secant defectiveness and identifiability of Segre–Veronese varieties;Revista Matemática Iberoamericana;2022-04-05

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