E. Becker and R. Neuhaus, Computation of real radicals of polynomial ideals, Prog. Math, vol.109, pp.1-20, 1993.

G. Blekherman, P. Parrilo, and R. Thomas, Semidefinite Optimization and Convex Algebraic Geometry, MOS-SIAM Series on Optimization, vol.13, 2012.

P. Breiding, S. Kalisnik, B. Sturmfels, and M. Weinstein, Learning algebraic varieties from samples, Revista Matematica Complutense, vol.31, pp.545-593, 2018.

P. Breiding, K. Kozhasov, and A. Lerario, On the geometry of the set of symmetric matrices with repeated eigenvalues, Arnold Math. J, vol.4, pp.423-443, 2018.

P. Breiding and O. Marigliano, Random points on an algebraic manifold

D. Cifuentes, S. Agarwal, P. Parrilo, and R. Thomas, On the local stability of semidefinite relaxations

D. Cifuentes, C. Harris, and B. Sturmfels, The geometry of SDP-exactness in quadratic optimization, Math. Program, pp.1-30, 2019.

S. Di-rocco, D. Eklund, and M. Weinstein, The bottleneck degree of algebraic varieties, SIAM J. Applied Algebra and Geometry, 2020.

J. Draisma, E. Horobet, G. Ottaviani, B. Sturmfels, and R. Thomas, The Euclidean distance degree of an algebraic variety, Found. Comput. Math, vol.16, pp.99-149, 2016.

E. Dufresne, P. Edwards, H. Harrington, and J. Hauenstein, Sampling real algebraic varieties for topological data analysis, 18th IEEE Intern, Machine Learning and Applications (ICMLA 2019)

M. S. El-din, Z. H. Yang, and L. Zhi, Computing real radicals and S -radicals of polynomial systems, J. Symbolic Computation, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02388168

W. Fulton, Intersection Theory, 1984.

W. Fulton, Introduction to Toric Varieties, 1993.

G. H. Golub, A. Hoffman, and G. W. Stewart, A generalization of the Eckart-Young-Mirsky matrix approximation theorem, Linear Algebra Appl, vol.88, pp.317-327, 1987.

D. Grayson and M. Stillman, Macaulay2, a software system for research in algebraic geometry

E. Horobet and M. Weinstein, Offset hypersurfaces and persistent homology of algebraic varieties, Computer Aided Geom. Design, p.101767, 2019.

Y. Ma, C. Wang, and L. Zhi, A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals, J. Symbolic Computation, vol.72, pp.1-20, 2016.

G. Ottaviani and L. Sodomaco, The distance function from a real algebraic variety

E. Spanier, Algebraic Topology, 1966.