Kiryong Chung

activity

20242026

collaborators

3 papers

math.AG2026

A remark on rational quartic curves in prime Fano threefolds of degree $22$

Kiryong Chung, Jeong-Seop Kim

In this short note, using the Sarkisov link between a prime Fano threefold $V_{22}$ of degree $22$ and the quintic del Pezzo threefold $V_{5}$ , we prove that the Hilbert scheme of ra…

math.AG2025

Local structure of the Hilbert scheme of conics in quintic del Pezzo varieties

Kiryong Chung, Bomyeong Kim, Minseong Kwon

Let $X$ be the quintic del Pezzo $4$ -fold. It is very well-known that $X$ is realized by a smooth linear section of Grassmannian $Gr (2, 5)$ . In this paper, we prove that th…

math.AG2024

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 $Pic (X) ≅ Z$ . Such a threefold $X$ can be realized by a regular zero section $s$ of $(\big…

A remark on rational quartic curves in prime Fano threefolds of degree 22

Local structure of the Hilbert scheme of conics in quintic del Pezzo varieties

Rational quartic curves in the Mukai-Umemura variety

A remark on rational quartic curves in prime Fano threefolds of degree $22$