2 citations · 4 across the 9 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.NT2020★ 1 cited
The Hasse principle for random Fano hypersurfaces
Tim Browning, Pierre Le Boudec, Will Sawin
It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least over any number field. Moreover, for such v…
math.NT2020★ 1 cited
Height of rational points on random Fano hypersurfaces
Pierre Le Boudec
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 av…