arXiv subjects

Natsume Kitagawa

Publications and source records attributed to Natsume Kitagawa.

2 recordsLinked to original sources

arXiv2026

Rational curves on cubic hypersurfaces in positive characteristic

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 $4$.

math.AG↗

arXiv2024

On the standard models of del Pezzo fibrations of degree four

Corti defined the notion of standard models of del Pezzo fibrations, and studied their existence over $\mathbb{C}$ with a fixed generic fibre. In this paper, we prove the existence of standard models of del Pezzo fibrations of degree $4$ in characteristic $>2$. To show this, we use the notion of Kollár stability, which was introduced by Kollár and Abban-Fedorchuk-Krylov.

math.AG↗