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arXiv · 2508.18938

Rational surfaces on low degree hypersurfaces

Tim Browning·Shuntaro Yamagishi
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Abstract

We use function field analytic number theory to establish the irreducibility and dimension of the moduli space that parameterises morphisms of fixed degree from $\mathbb{P}^2$ to an arbitrary smooth hypersurface of sufficiently small degree.

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Tim Browning, Shuntaro Yamagishi. 2025-08-26. Rational surfaces on low degree hypersurfaces. https://arxiv.org/abs/2508.18938

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