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arxiv: 0710.4268 · v1 · submitted 2007-10-23 · 🧮 math.AG

Finite Field Experiments (with an Appendix by Stefan Wiedmann)

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keywords finiteexperimentsfieldsadvancedappendixcharacteristiccomputerequations
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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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