Multiplicity of codimension 1 fibers in Lagrangian fibrations

Fuente: arXiv
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Main Author: Kim, Yoon-Joo
Format: Preprint
Published: 2026
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author Kim, Yoon-Joo
author_facet Kim, Yoon-Joo
contents 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 $1$.
format Preprint
id arxiv_https___arxiv_org_abs_2603_27283
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multiplicity of codimension 1 fibers in Lagrangian fibrations
Kim, Yoon-Joo
Algebraic Geometry
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 $1$.
title Multiplicity of codimension 1 fibers in Lagrangian fibrations
topic Algebraic Geometry
url https://arxiv.org/abs/2603.27283