3 papers
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 of rational quartic curves on the quintic del Pezzo threefold is isomorphic to a Grassmannian bundle over…
math.CO2026
Enumeration of multiplex juggling card sequences using generalized q-derivatives
Yumin Cho, Jaehyun Kim, Jang Soo Kim +1
In 2019, Butler, Choi, Kim, and Seo introduced a new type of juggling card that represents multiplex juggling patterns in a natural bijective way. They conjectured a formula for th…
math.AG2024
Rational quartic curves in the Mukai-Umemura variety
Kiryong Chung, Jaehyun Kim, Jeong-Seop Kim
Let be the Fano threefold of index one, degree , and . Such a threefold can be realized by a regular zero section of $(\big…