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Complete intersections of cubic and quadric hypersurfaces over $\mathbb{F}_q(t)$ (2306.02718v1)
Published 5 Jun 2023 in math.NT
Abstract: Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least $23$ over $\mathbb{F}_q(t)$, provided $\text{cha}(\mathbb{F}_q)>3$. Under the same hypotheses, we also verify weak approximation.
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