Finite Field Experiments (with an Appendix by Stefan Wiedmann)

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

References in corpus (2)

• Three lectures on elliptic surfaces and curves of high rank
• A new family of rational surfaces in P^4