On distinct cross-ratios in positive characteristic
classification
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keywords
characteristiccross-ratiosdistinctpositivedeterminesfieldfiniteline
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We prove that a finite subset $A$ of the projective line $FP^1$ over a field $F$ of positive characteristic $p$ determines $\Omega(|A|^2)$ distinct cross-ratios, as long as $|A|<\sqrt{p}.$
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