Finite Field Experiments (with an Appendix by Stefan Wiedmann)

Details Finite Field Experiments (with an Appendix by Stefan Wiedmann) Finite Field Experiments (with an Appendix by Stefan Wiedmann)

2007-10-23

arxiv.org/abs/0710.4268v1

Higher-Dimensional Geometry over Finite Fields, Nato Science for Peace and Security Series, Vol. 16 (2008), p. 1-62

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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