Non-singular points on Hypersurfaces over \mathbbF_q

2010/01/05 by Zahid, Jahan
#11E76 #14G45 #14J70 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1001.0684

Abstract

We survey a number of results on the counting of points on hypersurfaces defined over finite fields. We also investigate when one can be guaranteed a non-singular point on a projective hypersurface and give a condition on the cardinality of the ambient field to achieve this.

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