Kiryong Chung

collaborators

3 papers

math.AG2026

DT-GV correspondence on the Mukai-Umemura variety

Kiryong Chung, Joonyeong Won

We compute Donaldson-Thomas(DT) invariants and their descendant invariants for the local Calabi-Yau 4-fold over the Mukai-Umemura variety via several localization formulas. Assumin…

math.AG2025

Rational curves in a quadric threefold via an $SL (2, C)$ -representation

Kiryong Chung, Sukmoon Huh, Sang-Bum Yoo

In this paper, we regard the smooth quadric threefold $Q_{3}$ as Lagrangian Grassmannian and search for fixed rational curves of low degree in $Q_{3}$ with respect to a torus actio…

math.AG2025

Deformations of the tangent bundle of a projective hypersurface

Insong Choe, Kiryong Chung, Jun-Muk Hwang

For a nonsingular hypersurface $X \subset P^{n}, n \geq 4,$ of degree $d \geq 2$ , we show that the space $H^1(X, \End(T_X))$ of infinitesimal deformations of the tangent bun…

DT-GV correspondence on the Mukai-Umemura variety

Rational curves in a quadric threefold via an SL(2,C)-representation

Deformations of the tangent bundle of a projective hypersurface

Rational curves in a quadric threefold via an $SL (2, C)$ -representation