J. Alexander and A. Hirschowitz, Polynomial interpolation in several variables, J. Algebraic Geom, vol.4, issue.2, pp.201-222, 1995.

E. Ballico and A. Bernardi, Decomposition of homogeneous polynomials with low rank, Mathematische Zeitschrift, vol.525, issue.1, pp.209-220
DOI : 10.1007/s00209-011-0907-6

URL : https://hal.archives-ouvertes.fr/hal-00645978

A. Bernardi, A. Gimigliano, and M. Idà, Computing symmetric rank for symmetric tensors, Journal of Symbolic Computation, vol.46, issue.1, pp.34-55, 2011.
DOI : 10.1016/j.jsc.2010.08.001

URL : https://hal.archives-ouvertes.fr/hal-00645973

J. Buczy´nskibuczy´nski, A. Ginensky, and J. M. Landsberg, Determinantal equations for secant varieties and the Eisenbud- Koh-Stillman conjecture

L. Chiantini and C. Ciliberto, Weakly defective varieties, Trans. Amer. Math. Soc, vol.454, issue.1, pp.151-178, 2002.

C. Ciliberto, M. Mella, and F. Russo, Varieties with one apparent double point, Journal of Algebraic Geometry, vol.13, issue.3, pp.475-512, 2004.
DOI : 10.1090/S1056-3911-03-00355-2

A. Iarrobino and V. Kanev, Power sums, Gorenstein algebras, and determinantal loci, Lecture Notes in Mathematics, vol.1721, 1999.
DOI : 10.1007/BFb0093426

L. Lim and V. D. Silva, Tensor rank and the ill-posedness of the best low-rank approximation problem, SIAM J. Matrix Anal, vol.30, issue.3, pp.1084-1127, 2008.

J. M. Landsberg and Z. Teitler, On the Ranks and Border Ranks of Symmetric Tensors, Foundations of Computational Mathematics, vol.54, issue.2, pp.339-366, 2010.
DOI : 10.1007/s10208-009-9055-3

R. C. Vaughan, T. D. Wooley, and A. Peters, Waring's problem: a survey, Number theory for the millennium, III, pp.301-340, 2000.