Secant Dimensions of Minimal Orbits: Computations and Conjectures
Baur, Karin ; Draisma, Jan ; de Graaf, Willem A.
Experiment. Math., Tome 16 (2007) no. 1, p. 239-251 / Harvested from Project Euclid
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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 give a short proof of the relation---known from the work of Ehrenborg, Catalisano--Geramita--Gimigliano, and Sturmfels--Sullivant---between the existence of certain codes and nondefectiveness of certain higher secant varieties.
Publié le : 2007-05-15
Classification:  Projective techniques,  higher-dimensional varieties,  classical groups,  14N05,  14Q15,  14L35 
@article{1204905879,
     author = {Baur, Karin and Draisma, Jan and de Graaf, Willem A.},
     title = {Secant Dimensions of Minimal Orbits: Computations and Conjectures},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 239-251},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204905879}
}

Baur, Karin; Draisma, Jan; de Graaf, Willem A. Secant Dimensions of Minimal Orbits: Computations and Conjectures. Experiment. Math., Tome 16 (2007) no. 1, pp.  239-251. http://gdmltest.u-ga.fr/item/1204905879/