Yoon-Joo Kim

collaborators

4 papers

math.AG2026

Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations

Yoon-Joo Kim, Keiji Oguiso, Evgeny Shinder

We prove that compact hyper-Kähler manifolds with a Lagrangian fibration over a projective space have no multiple fibers in codimension one. This has several consequences for the s…

math.AG2026

Meromorphic Group Actions and the Support Theorem for Lagrangian Fibrations

Mark Andrea de Cataldo, Yoon-Joo Kim, Christian Schnell

We prove several new results about Lagrangian fibrations on holomorphic symplectic complex spaces, under the assumption that the total space is Kähler (but possibly non-compact or…

math.AG2026

Multiplicity of codimension 1 fibers in Lagrangian fibrations

Yoon-Joo Kim

Let $π : X \to B$ be a Lagrangian fibration of a compact hyper-Kähler manifold. We prove that every codimension $1$ fiber of $π$ has multiplicity $1$ .

math.AG2026

Kodaira-type classification of singular fibers of some minimal abelian fibrations

Yoon-Joo Kim

Let $X \to S$ be a minimal abelian fibration of relative dimension $n$ over a curve. We classify all possible singular fibers $X_{s}$ having $(n - 1)$ -dimensional ``abelian variety par…