Rational quartic curves in the Mukai-Umemura variety

Kiryong Chung, Jaehyun Kim, Jeong-Seop Kim

Let $X$ be the Fano threefold of index one, degree $22$, and $\mathrm{Pic}(X)\cong \mathbb{Z}$. Such a threefold $X$ can be realized by a regular zero section $\mathbf{s}$ of $(\big…