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- W2787156918 abstract "We consider the vanishing ideal of a projective space over a finite field. An explicit set of generators for this ideal has been given by Mercier and Rolland. We show that these generators form a universal Grobner basis of the ideal. Further we give a projective analogue of the footprint bound, and a version of it that is suitable for estimating the number of points of a projective algebraic variety over a finite field. An application to Serre's inequality for the number of rational points of projective hypersurfaces over finite fields is included" @default.
- W2787156918 created "2018-02-23" @default.
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- W2787156918 date "2018-01-27" @default.
- W2787156918 modified "2023-09-27" @default.
- W2787156918 title "Vanishing ideals of projective spaces over finite fields and a projective footprint bound" @default.
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