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Pankaj Vishe: On The Hasse Principal for Complete Intersections

Time: Wed 2021-04-21 11.10 - 11.40

Location: Zoom, meeting ID: TBA

Participating: Pankaj Vishe - Durham University

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Abstract

Let \(X\in \mathbb{P}^{n-1}_{\mathbb{Q}}\) be a smooth projective complete intersection variety defined by a system of two cubic polynomials. We prove that \(X\) satisfies the Hasse principal as long as \(n \geq 40\). The key ingredient here is the development of a Kloosterman refinement for complete intersections over \(\mathbb{Q}\). This is a joint work with Matthew Northey.