Rational curves on cubic hypersurfaces in positive characteristic
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910177420115968 |
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| author | Kitagawa, Natsume |
| author_facet | Kitagawa, Natsume |
| contents | We study the moduli spaces of rational curves on cubic hypersurfaces in characteristic $\neq2,3$. As a result, we prove that for every integer $d\geq1$ the Kontsevich moduli space of stable maps on a smooth cubic hypersurface $X$ of degree $d$ is irreducible if the dimension of $X$ is greater than or equal to $4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26556 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rational curves on cubic hypersurfaces in positive characteristic Kitagawa, Natsume Algebraic Geometry We study the moduli spaces of rational curves on cubic hypersurfaces in characteristic $\neq2,3$. As a result, we prove that for every integer $d\geq1$ the Kontsevich moduli space of stable maps on a smooth cubic hypersurface $X$ of degree $d$ is irreducible if the dimension of $X$ is greater than or equal to $4$. |
| title | Rational curves on cubic hypersurfaces in positive characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.26556 |