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Paper detail

Height of rational points on random Fano hypersurfaces

We investigate in a statistical fashion the smallest height of a rational point on a Fano hypersurface defined over the field of rational numbers. Along the way, we establish an average version of Manin's conjecture about the number of rational points of bounded height on Fano varieties for the complete family of Fano hypersurfaces of fixed degree and dimension.

preprint2020arXivOpen access
Pierre Le Boudec
math.NT
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Pierre Le Boudec

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