The density of rational points on curves and surfaces

The density of rational points on curves and surfaces

Let $C$ be an irreducible projective curve of degree $d$ in $\mathbb{P}^3$, defined over $\overline{\mathbb{Q}}$. It is shown that $C$ has $O_{\varepsilon,d}(B^{2/d+\varepsilon})$ rational points of height at most $B$, for any $\varepsilon>0$, uniformly for all curves $C$. This result exten...

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Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Heath-Brown, D
Formáid:	Journal article
Foilsithe / Cruthaithe:	2002

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