Geodesic
On the graph of a function in two variables over a finite field
Journal of Algebraic Combinatorics, Tome 23 (2006) no. 3, pp. 243-253.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show that if the number of directions not determined by a pointset $W$ mathcalW of $AG(3, q), q= p ^{ h}$ mathrmAG(3,q), q=p^h , of size $q ^{2}$ is at least $p ^{ e} q$ then every plane intersects $W$ mathcalW in 0 modulo $p ^{ e+1}$ points and apply the result to ovoids of the generalised quadrangles $T _{2}( O) T_2({\cal O})$ and $T _{2} ^{*}( H)$ T_2^*($\cal H$) .
Keywords: keywords directions determined by a function, directions determined by a set, generalised quadrangles, ovoids 
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     title = {On the graph of a function in two variables over a finite field},
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Ball, Simeon; Lavrauw, Michel. On the graph of a function in two variables over a finite field. Journal of Algebraic Combinatorics, Tome 23 (2006) no. 3, pp. 243-253. http://geodesic.mathdoc.fr/item/JAC_2006__23_3_a1/