Multiple fibers of holomorphic Lagrangian fibrations

Jun-Muk Hwang; Keiji Oguiso

Multiple fibers of holomorphic Lagrangian fibrations

Algebraic Geometry 2009-07-29 v1 Complex Variables

Authors: Jun-Muk Hwang , Keiji Oguiso

Abstract

We determine all possible multiplicities of general singular fibers of a holomorphic Lagrangian fibration, under the assumption that all components of the fibers are of Fujiki class. The multiplicities are at most 6 and the possible values are intricately related to the Kodaira type of the characteristic cycle.

Keywords

holomorphic lagrangian fibration multiple fiber singular fiber fujiki class kodaira type characteristic cycle

Cite

@article{arxiv.0907.4869,
  title  = {Multiple fibers of holomorphic Lagrangian fibrations},
  author = {Jun-Muk Hwang and Keiji Oguiso},
  journal= {arXiv preprint arXiv:0907.4869},
  year   = {2009}
}

Comments

18 pages

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