On two upper bounds for hypersurfaces involving a Thas' invariant

2018/02/04 by Tironi, Andrea Luigi
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.01210

Abstract

Let Xⁿ be a hypersurface in ℙⁿ⁺¹ with n≥ 1 defined over a finite field \mathbbF_q of q elements. In this note, we classify, up to projective equivalence, hypersurfaces Xⁿ as above which reach two elementary upper bounds for the number of \mathbbF_q-points on Xⁿ which involve a Thas' invariant.

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