English

Finite Field Experiments (with an Appendix by Stefan Wiedmann)

Algebraic Geometry 2009-07-10 v1

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.

Keywords

Cite

@article{arxiv.0710.4268,
  title  = {Finite Field Experiments (with an Appendix by Stefan Wiedmann)},
  author = {Hans-Christian Graf v. Bothmer},
  journal= {arXiv preprint arXiv:0710.4268},
  year   = {2009}
}

Comments

62 Pages, 23 Figures. Macalay and Magma Scripts are availabe at http://www.iag.uni-hannover.de/~bothmer/goettingen.php

R2 v1 2026-06-21T09:35:06.609Z