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Secant Dimensions of Minimal Orbits

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posted on 26.02.2009, 14:43 by Karin Baur, Jan Draisma, Willem de Graff
We present an algorithm for computing the dimensions of higher secant varieties of minimal orbits. Experiments with this algorithm lead to many conjectures on secant dimensions, especially of Grassmannians and Segre products. For these two classes of minimal orbits, we also point out a relation between the existence of certain codes and non-defectiveness of certain higher secant varieties.

Funding

Second named author supported by the Netherlands Organisation for Scientific Research, through mathematics cluster DIAMANT.

History

Available date

26/02/2009

Publisher version

http://www2.le.ac.uk/departments/mathematics/extranet/research-material/reports/res_rep06

Book series

MA 06-005

Language

en

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