19 citations · 23 across the 7 of their papers we have counts for
7 papers
Counting integral points of affine hypersurfaces
Per Salberger
We give uniform upper bounds for the number of integral points of bounded height on affine hypersurfaces, which generalise earlier results of Browning,Heath-Brown and the author.
On the arithmetic of intersections of two quadrics containing a conic
Per Salberger
This is a retyped version of an unpublished manuscript from 1993. It contains proofs of two conjectures of Colliot-Thélène, Sansuc and Swinnerton-Dyer on the arithmetic of intersec…
The Manin-Peyre conjecture for a certain biprojective cubic threefold
Valentin Blomer, Jörg Brüdern, Per Salberger
The conjectures of Manin and Peyre are confirmed for a certain threefold.
Counting rational points on the Cayley ruled cubic
Régis de la Bretèche, Tim Browning, Per Salberger
We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and Tschinkel.
On a senary cubic form
Valentin Blomer, Jörg Brüdern, Per Salberger
A strong form of the Manin-Peyre conjecture with a power saving error term is proved for a certain cubic fourfold.
On the density of rational and integral points on algebraic varieties
Per Salberger
We prove a conjecture of Heath-Brown on the number of rational points of bounded height for a large class of projective varieties.