Complete intersections of cubic and quadric hypersurfaces over \mathbbF_q(t)

2023/06/05 by Jakob Glas, Glas, Jakob
Mathematics · Engineering · #Meromorphic and Entire Functions #Mathematics and Applications #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2306.02718

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 \mathbbF_q(t), provided cha(\mathbbF_q)>3. Under the same hypotheses, we also verify weak approximation.

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