Secant Dimensions of Minimal Orbits
reportposted 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.