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math.AG2026
Relative -Contractibility of Smooth Schemes
Adrien Dubouloz, Krishna Kumar Madhavan Vijayalakshmi, Paul Arne Østvær
We study smooth morphisms that are -contractible in the unstable -homotopy category . For base schemes of finite…
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…
math.AG2026
On K-stability of singular hyperelliptic Fano 3-folds
Hamid Abban, Ivan Cheltsov, Adrien Dubouloz +3
We study the K-stability of singular Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system is base-point-free but not very ample.