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math.AG2025
Fibers of Landau-Ginzburg models and rationality
Sukjoo Lee, Victor Przyjalkowski
In this article, we study how the rationality of a Fano threefold is reflected in its standard mirror Landau-Ginzburg model and its deformations. The main result is that a Fano thr…
math.AG2025
On a conjecture of Hosono-Lee-Lian-Yau
Andrew Harder, Sukjoo Lee
We extend the mirror construction of singular Calabi-Yau double covers, introduced by Hosono, Lee, Lian, and Yau, to a broader class of singular Calabi-Yau -Galoi…
math.AG2025
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem
Jia Choon Lee, Sukjoo Lee
In this paper, we generalize the spectral correspondence for parabolic Higgs bundles established by Diaconescu--Donagi--Pantev to the relative setting. We show that the relative mo…