| Résume | Abstract: Kodaira classified all possible singular fibers in minimal elliptic fibrations over a curve. Pushing it to higher dimensions, Matsushita (2001) classified all possible codimension 1 fibers in Lagrangian fibrations of relative dimension 2. Hwang-Oguiso (2009-2011) subsequently classified all possible characteristic cycles in codimension 1 fibers in arbitrary-dimensional Lagrangian fibrations. Such a result was used/enhanced in the recent work of Engel-Filipazzi-Greer-Mauri-Svaldi (2025) to bound certain Calabi-Yau varieties. In this talk, I will classify all possible singular fibers arising in certain arbitrary-dimensional abelian fibrations over a curve, both semistable and unstable, once again generalizing the work of Kodaira, Matsushita, and Hwang-Oguiso.
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