Rational surfaces on low degree hypersurfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916918427910144 |
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| author | Browning, Tim Yamagishi, Shuntaro |
| author_facet | Browning, Tim Yamagishi, Shuntaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational surfaces on low degree hypersurfaces Browning, Tim Yamagishi, Shuntaro Algebraic Geometry Number Theory 14H10 (11P55, 14G05, 14J26, 14J70) 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. |
| title | Rational surfaces on low degree hypersurfaces |
| topic | Algebraic Geometry Number Theory 14H10 (11P55, 14G05, 14J26, 14J70) |
| url | https://arxiv.org/abs/2508.18938 |