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math.AG2026
Polarized cylinders on blow-ups of weighted projective planes
In-Kyun Kim, Masatomo Sawahara, Joonyeong Won
We study polarized cylinders in certain rational surfaces arising from blow-ups of weighted projective planes. In particular, we consider the surfaces obtained by blowing up …
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.AG2026
Cylinders in weighted Fano varieties
Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto +1
Cylinders in Fano varieties receives a lot of attentions recently from the viewpoints of birational geometry and unipotent geometry. In this article, we provide a survey of several…