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Bibliographic Details
Main Author: Kitagawa, Natsume
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.26556
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Table of 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 $4$.