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arxiv: 1502.00772 · v2 · pith:5LQKLDIOnew · submitted 2015-02-03 · 🧮 math.NT

Rational points on cubic hypersurfaces over mathbb{F}_q(t)

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keywords cubicfieldhypersurfacesapproximationcharacteristicdimensionestablishedexceeding
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For any finite field k of characteristic exceeding 3, the Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field k(t), provided that X has dimension at least 6.

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