Kiryong Chung

activity

20242026

collaborators

4 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.AG2026

Quartic curves in the quintic del Pezzo threefold

Kiryong Chung, Jaehyun Kim, Jeong-Seop Kim

In this paper, we prove that the Hilbert scheme $H_{4} (X_{5})$ of rational quartic curves on the quintic del Pezzo threefold $X_{5}$ is isomorphic to a Grassmannian bundle over…

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