Probabilistic algorithm Algorithms 6 Complexity 6 Polynomials 6 Affine space 4 Combinatorial structures 4 Finite set 4 Geometric resolution 4 Homotopies 4 Numerical algorithms 4 Pre-processing 4 Sparse polynomial systems 4 Sparse polynomials 4 System supports 4 Systems of equations 4 Topology 4 Arithmetic operations 2 Complexity estimates 2 Computational complexity 2 Deformation 2 Degree of varieties 2 Geometric solutions 2 Homotopy algorithms 2 Intrinsic complexity 2 Mixed volume 2 Newton-Hensel lifting 2 Non-Archimedean height 2 Numerical analysis 2 Polyhedral deformations 2 Polynomial optimization 2