Finite Field Experiments (with an Appendix by Stefan Wiedmann)
arXiv:0710.4268
Abstract
We explain how to use computer experiments over finite fields to gain heuristic information about the solution set of polynomial equations in characteristic zero. These are notes of a tutorial I gave at the NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields in G"ottingen 2007.
62 Pages, 23 Figures. Macalay and Magma Scripts are availabe at http://www.iag.uni-hannover.de/~bothmer/goettingen.php