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Secant Dimensions of Minimal Orbits

By Karin Baur, Jan Draisma and Willem de Graff

Abstract

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

Year: 2006
OAI identifier: oai:lra.le.ac.uk:2381/4265

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