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arXiv · 1502.05028

Rational curves on smooth cubic hypersurfaces over finite fields

Tim Browning·Pankaj Vishe
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Abstract

Let k be a finite field with characteristic exceeding 3. We prove that the space of rational curves of fixed degree on any smooth cubic hypersurface over k with dimension at least 11 is irreducible and of the expected dimension.

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Tim Browning, Pankaj Vishe. 2015-02-17. Rational curves on smooth cubic hypersurfaces over finite fields. https://arxiv.org/abs/1502.05028

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