New examples of defective secant varieties of Segre–Veronese varieties

Abo, H., Brambilla, M.C.: On the dimensions of secant varieties of Segre–Veronese varieties. arXiv:0912.4342.

Abo H., Ottaviani G., Peterson C.: Induction for secant varieties of Segre varieties. Trans. Am. Math. Soc. 361(2), 767–792 (2009)

Alexander J., Hirschowitz A.: Un lemme d’Horace différentiel: application aux singularités hyperquartiques de $${\mathbb{P} ^5}$$ . J. Algebraic Geom. 1(3), 411–426 (1992)

Alexander J., Hirschowitz A.: Polynomial interpolation in several variables. J. Algebraic Geom. 4(2), 201–222 (1995)

Baur K., Draisma J., Graaf W.A.: Secant dimensions of minimal orbits: computations and conjectures. Exp. Math. 16(2), 239–250 (2007)

Carlini E., Catalisano M.V.: On rational normal curves in projective space. J. Lond. Math. Soc. (2) 80(1), 1–17 (2009)

Catalisano, M.V., Geramita, A.V., Gimigliano, A.: Higher secant varieties of Segre–Veronese varieties, Projective varieties with unexpected properties, pp. 81–107. Walter de Gruyter GmbH & Co. KG, Berlin (2005)

Kaji, H.: Higher secant varieties of Grassmann varieties (1997) (preprint)