Algebraic Geometry

Real Algebraic Geometry

14Pxx

  1. Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey El Din, and Eric Schost, On the geometry of polar varieties, Appl. Algebra Engrg. Comm. Comput. 21 (2010), no. 1, 33–83.[MR/doi]
  2. Saugata Basu and Michael Kettner, Computing the Betti numbers of arrangements in practice, in Computer Algebra in Scientific Computing, Lecture Notes in Computer Science, vol. 3718, Springer Berlin/Heidelberg, 2005, pp. 13–31.
  3. Mbakop Guy Merlin, Eziente losung reeller polynomialer gleichungssysteme, PhD Thesis, Humboldt-Universität, Berlin, 1999.[link]
  4. S. Petitjean, Algebraic geometry and computer vision: Polynomial systems, real and complex roots, J. Math. Imaging Vision 10 (1999), no. 3, 191–220.[MR]
  5. Mohab Safey El Din, Testing sign conditions on a multivariate polynomial and applications, Math. Comput. Sci. 1 (2007), no. 1, 177–207.[MR]
  6. Mohab Safey El Din and Éric Schost, Properness defects of projections and computation of at least one point in each connected component of a real algebraic set, Discrete Comput. Geom. 32 (2004), no. 3, 417–430.[MR]