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arXiv · 1703.01772

Approximation diophantienne et distribution locale sur une surface torique

Zhizhong Huang
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Abstract

In this article we study Diophantine approximation and local distribution of a rational point on a toric surface obtained as a blow-up of $\mathbb{P}^1\times\mathbb{P}^1$. It turns out that outside a Zariski closed subset the best approximations are achieved through a family of nodal curves. Hence the investigation is reduced to the question of local distribution of a quadratic point on the projective line.

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Zhizhong Huang. 2018-12-17. Approximation diophantienne et distribution locale sur une surface torique. https://doi.org/10.4064/aa170327-4-1

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