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arXiv · 2112.11303

On the Hasse principle for complete intersections

Matthew Northey·Pankaj Vishe
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Abstract

We prove the Hasse principle for a smooth projective variety $X\subset \PP^{n-1}_\Q$ defined by a system of two cubic forms $F,G$ as long as $n\geq 39$. The main tool here is the development of a version of Kloosterman refinement for a smooth system of equations defined over $\Q$.

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Matthew Northey, Pankaj Vishe. 2021-12-21. On the Hasse principle for complete intersections. https://arxiv.org/abs/2112.11303

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