Counting Rational Points On Threefolds [chapter]

Niklas Broberg, Per Salberger
2004 PROGRESS IN MATHEMATICS  
Let X ⊂ P 4 be an irreducible hypersurface and ε > 0 be given. We show that there are O(B 3+ε ) resp. O(B 55/18+ε ) rational points on P 4 lying on X when X is of degree d ≥ 4 resp. d = 3. The implied constants depend only on d and ε.
doi:10.1007/978-0-8176-8170-8_6 fatcat:4mkds7wibjeifnr3ucj6n3uwu4