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Paper detail

Mapping Incidences

We show that any finite set S in a characteristic zero integral domain can be mapped to the finite field of order p, for infinitely many primes p, preserving all algebraic incidences in S. This can be seen as a generalization of the well-known Freiman isomorphism lemma, and we give several combinatorial applications (such as sum-product estimates).

preprint2011arXivOpen access
Van H. VuMelanie Matchett WoodPhilip Matchett Wood
math.COmath.NT
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Van H. VuMelanie Matchett WoodPhilip Matchett Wood

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