8 citations · 21 across the 21 of their papers we have counts for
26 papers · 1 filter
Two-Dimensional Torus Action on the Quadric Threefold and GW-DT-GV Correspondence
Kiryong Chung, Sanghyeon Lee
We compute Gromov--Witten (GW) and Donaldson-Thomas (DT) invariants (including descendant invariants) for local CY -folds over a smooth quadric threefold , up to degree .…
Hilbert schemes of low-degree rational curves on a prime Fano threefold of degree
Kiryong Chung, Dae-Won Lee
In this paper, we give a complete description of the Hilbert schemes of rational curves up to degree on a prime Fano threefold of degree . One of the key ingredients in…
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…
Deformations of the tangent bundle of a projective hypersurface
Insong Choe, Kiryong Chung, Jun-Muk Hwang
For a nonsingular hypersurface of degree , we show that the space $H^1(X, \End(T_X))$ of infinitesimal deformations of the tangent bun…
Conics in quintic del Pezzo varieties
Kiryong Chung, Sanghyeon Lee
The smooth quintic del Pezzo variety is well-known to be obtained as a linear sections of the Grassmannian variety under the Plücker embedding into $\mathbb{…
Rational curves in a quadric threefold via an -representation
Kiryong Chung, Sukmoon Huh, Sang-Bum Yoo
In this paper, we regard the smooth quadric threefold as Lagrangian Grassmannian and search for fixed rational curves of low degree in with respect to a torus actio…