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arXiv · 1907.07097

Rational points on complete intersections over $\mathbb{F}_q(t)$

Pankaj Vishe
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Abstract

A Kloosterman refinement for function fields $K=\mathbb{F}_q(t)$ is developed and used to establish the quantitative arithmetic of the set of rational points on a smooth complete intersection of two quadrics $X\subset \mathbb{P}^{n-1}_{K}$ , under the assumption that $q$ is odd and $n\geq 9$.

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Pankaj Vishe. 2019-07-16. Rational points on complete intersections over $\mathbb{F}_q(t)$. https://arxiv.org/abs/1907.07097

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