Geodesic
Non-singular points on hypersurfaces over $\mathbb F_q$
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 55-62 
J. Zahid. Non-singular points on hypersurfaces over $\mathbb F_q$. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 55-62. http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a8/
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     title = {Non-singular points on hypersurfaces over $\mathbb F_q$},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a8/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this survey article we investigate hypersurfaces defined over finite fields. More specifically we determine for which hypersurfaces one can ensure the existence of a non-singular point taking the cardinality of our ambient field large if need be. Additionally for such hypersurfaces we will find a lower bound on the cardinality for which a non-singular point is guaranteed. Bibl. 11 titles.

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