Geodesic
AN INCIDENCE CONJECTURE OF BOURGAIN OVER FIELDS OF POSITIVE CHARACTERISTIC
Forum of Mathematics, Sigma, Tome 4 (2016)

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In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in 3-space from characteristic 0 to characteristic $p$ , and we explain how some of the special features of algebraic geometry in characteristic $p$ manifest themselves in problems of incidence geometry. 
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     author = {JORDAN S. ELLENBERG and M\'ARTON HABLICSEK},
     title = {AN {INCIDENCE} {CONJECTURE} {OF} {BOURGAIN} {OVER} {FIELDS} {OF} {POSITIVE} {CHARACTERISTIC}},
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JORDAN S. ELLENBERG; MÁRTON HABLICSEK. AN INCIDENCE CONJECTURE OF BOURGAIN OVER FIELDS OF POSITIVE CHARACTERISTIC. Forum of Mathematics, Sigma, Tome 4 (2016). doi: 10.1017/fms.2016.19

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