3 papers
math.AG2026
A remark on rational quartic curves in prime Fano threefolds of degree
Kiryong Chung, Jeong-Seop Kim
In this short note, using the Sarkisov link between a prime Fano threefold of degree and the quintic del Pezzo threefold , we prove that the Hilbert scheme of ra…
math.AG2025
Quartic curves in the quintic del Pezzo threefold
Kiryong Chung, Jaehyun Kim, Jeong-Seop Kim
In this paper, we prove that the Hilbert scheme of rational quartic curves on the quintic del Pezzo threefold is isomorphic to a Grassmannian bundle over…
math.AG2023
An -equivariant smooth compactification of rational quartic plane curves
Kiryong Chung, Jeong-Seop Kim
Let be the space of stable sheaves which satisfy the Hilbert polynomial and are supported on rational curves in the projective plane $\mathbb{P}^2…