Abstract
Let X ⊂ ℙ4 be an irreducible hypersurface and ε > 0 be given. We show that there are O(B3+ε), resp. O(B55/18+ε), rational points on ℙ4 lying on X when X is of degree d ⩾ 4, resp. d = 3. The implied constants depend only on d and ε.
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Broberg, N., Salberger, P. (2004). Counting Rational Points On Threefolds. In: Poonen, B., Tschinkel, Y. (eds) Arithmetic of Higher-Dimensional Algebraic Varieties. Progress in Mathematics, vol 226. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8170-8_6
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DOI: https://doi.org/10.1007/978-0-8176-8170-8_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6471-2
Online ISBN: 978-0-8176-8170-8
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