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math.AG2026
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 .…
math.AG2026
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…
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…