@article {34894,
	title = {Approximating rational points on surfaces},
	journal = {Proceedings of the American Mathematical Society},
	volume = {153},
	year = {2025},
	pages = {1903-1915},
	abstract = {<p class="MsoPlainText">
	Let X\&nbsp;be a smooth projective algebraic variety over a number field k\&nbsp;and P\&nbsp;in X(k). In 2007, the second author conjectured that, in a precise sense, if rational points on X\&nbsp;are dense enough, then the best rational approximations to P\&nbsp;must lie on a curve. We present a strategy for deducing a slightly weaker conjecture from Vojta{\textquoteright}s conjecture, and execute this strategy for the full conjecture for split surfaces.
</p>
},
	url = {http://arxiv.org/abs/2403.02480},
	author = {Brian Lehmann and David McKinnon and Matthew Satriano}
}
