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=ph mathrmAG(3,q), q=p^h , of size q2 is at least peq then every plane intersects W mathcalW in 0 modulo pe+1 points and apply the result to ovoids of the generalised quadrangles T2(O)T2(O) and T2∗(H) T_2^*(H) .
Mots-clés : 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. https://geodesic-test.mathdoc.fr/item/JAC_2006__23_3_a1/