Location of Repository

Secant Dimensions of Low-Dimensional Homogeneous Varieties

By Karin Baur and Jan Draisma


We completely describe the higher secant dimensions of all connected homogeneous projective varieties of dimension at most 3, in all possible equivariant embeddings. In particular, we calculate these dimensions for all Segre-Veronese embeddings of P1 × P1, P1 × P1 × P1, and P2 × P1, as well as for the variety F of incident point-line pairs in P2. For P2 × P1 and F the results are new, while the proofs for the other two varieties are more compact than existing proofs. Our main tool is the second author’s tropical approach to secant dimensions

Publisher: Dept. of Mathematics, University of Leicester.
Year: 2007
OAI identifier: oai:lra.le.ac.uk:2381/4261

Suggested articles



  1. (2007). A tropical approach to secant dimensions. doi
  2. (2006). Combinatorial secant varieties. doi
  3. (2007). Degenerazioni di varieta` toriche e interpolazione polinomiale,
  4. (2003). Five constructions of representations of quantum groups.
  5. (2004). Higher secant varieties of segre-veronese varieties. doi
  6. (1991). Linear Algebraic Groups. doi
  7. (2006). On the ideals of secant varieties to certain rational varieties. doi
  8. (1995). Polynomial interpolation in several variables.
  9. (2007). their secant varieties. doi
  10. (2006). Tropical secant varieties of linear spaces. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.