works on
hodge theory 1holomorphic symplectic spaces 1kähler geometry 1lagrangian fibrations 1meromorphic group actions 1support theorem 1

From the 1 of 4 linked papers with an AI index.

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

The paper develops meromorphic group actions on holomorphic symplectic Kähler spaces and uses them, together with Hodge‑theoretic tools, to establish a version of Ngô’s support the…

math.AG2026

Multiplicity of codimension 1 fibers in Lagrangian fibrations

Yoon-Joo Kim

Let be a Lagrangian fibration of a compact hyper-Kähler manifold. We prove that every codimension fiber of has multiplicity .

math.AG2026

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

Yoon-Joo Kim

Let be a minimal abelian fibration of relative dimension over a curve. We classify all possible singular fibers having -dimensional ``abelian variety par…