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, On the X-rank with respect to linear projections of projective varieties, Math. Nachr, vol.284, issue.17, pp.2133-2140, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00646117

W. Buczy?ska and J. Buczy?ski, Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes, J. Algebraic Geom, vol.23, issue.1, pp.63-90, 2014.

E. Ballico and A. Bernardi, Curvilinear schemes and maximum rank of forms, Le Matematiche, vol.72, issue.1, pp.137-144, 2017.
URL : https://hal.archives-ouvertes.fr/hal-00747023

E. Ballico, A. Bernardi, I. Carusotto, S. Mazzucchi, and V. Moretti, Lecture Notes of the Unione Matematica Italiana, Quantum physics and geometry, 2019.

A. Bernardi, E. Carlini, M. V. Catalisano, A. Gimigliano, and A. Oneto, The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition, Mathematics, vol.6, issue.12, p.314, 2018.

A. Bernardi, A. Gimigliano, and M. Idà, Computing symmetric rank for symmetric tensors, J. Symbolic Comput, vol.46, issue.1, pp.34-53, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00645973

, Singularities of plane rational curves via projections, J. Symbolic Comput, vol.86, pp.189-214, 2018.

J. Buczy?ski, K. Han, M. Mella, and Z. Teitler, On the locus of points of high rank, Eur. J. Math, vol.4, issue.1, pp.113-136, 2018.

A. Bernardi, J. Jelisiejew, P. Macias-marques, and K. Ranestad, On polynomials with given Hilbert function and applications, Collect. Math, vol.69, issue.1, pp.39-64, 2018.

A. Bernardi and K. Ranestad, On the cactus rank of cubics forms, J. Symbolic Comput, vol.50, pp.291-297, 2013.

G. Blekherman and Z. Teitler, On maximum, typical and generic ranks, Math. Ann, vol.362, issue.3, pp.1021-1031, 2015.

J. Buczy?ski and Z. Teitler, Some examples of forms of high rank, Collect. Math, vol.67, issue.3, pp.431-441, 2016.

A. Calabri and C. Ciliberto, On special projections of varieties: epitome to a theorem of Beniamino Segre, Adv. Geom, vol.1, pp.97-106, 2001.

M. V. Catalisano, A. V. Geramita, and A. Gimigliano, On the secant varieties to the tangential varieties of a Veronesean, Proc. Am. Math. Soc, vol.130, pp.975-985, 2002.

P. Comon, G. Golub, L. Lim, and B. Mourrain, Symmetric Tensors and Symmetric Tensor Rank, SIAM J. Matrix Anal. Appl, vol.30, issue.3, pp.1254-1279, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00327599

E. Carlini, N. Grieve, and L. Oeding, Four lectures on secant varieties: Connections between algebra, combinatorics, and geometry, Math. Stat, vol.76, pp.101-146, 2014.

M. Christandl and J. Zuiddam, Tensor surgery and tensor rank, Computational Complexity, vol.28, issue.1, pp.27-56, 2019.

R. D. Paolis, Alcune applicazioni della teoria generale delle curve polari, Rom. Acc. L. Mem, vol.4, pp.265-280, 1886.

A. Paris, High-rank ternary forms of even degree, Arch. Math, vol.109, issue.6, pp.505-510, 2017.

R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, issue.52, 1977.

J. Harris, Curves in projective space, Séminaire de Mathématiques Supérieures, vol.85, 1982.

F. Hirzebruch, Singularities of algebraic surfaces and characteristic numbers, Contemp. Math, vol.58, pp.141-155, 1984.

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

K. Ivinskis, Normale Flächen und die Miyaoka-Kobayashi-Ungleichung, Master's thesis, 1985.

J. Jelisiejew, An upper bound for the Waring rank of a form, Arch. Math, vol.102, issue.4, pp.329-336, 2014.

T. G. Kolda and B. W. Bader, Tensor Decompositions and Applications, vol.51, pp.455-500, 2009.

J. Kleppe, Representing a homogenous polynomial as a sum of powers of linear forms, Master's thesis, 1999.

J. M. Landsberg, Tensors: Geometry and Applications, vol.128, 2012.

, Geometry and Complexity Theory, 2017.

J. M. Landsberg and Z. Teitler, On the ranks and border ranks of symmetric tensors, Found. Comput. Math, vol.10, issue.3, pp.339-366, 2010.

M. Micha-lek, H. Moon, B. Sturmfels, and E. Ventura, Real rank geometry of ternary forms, Ann. Mat. Pura Appl, issue.4, pp.1025-1054, 2017.

R. Piene, Cuspidal projections of space curves, Math. Ann, vol.256, issue.1, pp.95-119, 1981.

K. Ranestad and F. Schreyer, Varieties of sums of powers, J. Reine Angew. Math, vol.525, pp.147-181, 2000.

, On the rank of a symmetric form, J. Algebra, vol.346, pp.340-342, 2011.

K. Tono, On the number of the cusps of cuspidal plane curves, Math. Nachr, vol.278, issue.1-2, pp.216-221, 2005.