In this introductory paper to the special issue, I describe first my personal view of the history of Polynomial System Solving during my career. Then I describe the main challenges which are now opened by the availability of efficient zero-dimensional solvers. © 2008 Elsevier Ltd. All rights reserved.
Lazard, D. (2009). Thirty years of Polynomial System Solving, and now? Journal of Symbolic Computation, 44(3), 222–231. https://doi.org/10.1016/j.jsc.2008.03.004