On base manifolds of Lagrangian fibrations

On base manifolds of Lagrangian fibrations

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摘要 We consider base spaces of Lagrangian fibrations from singular symplectic varieties. After defining cohomologically irreducible symplectic varieties, we construct an example of Lagrar, gian fibration whose base space is isomorphic to a quotient of the projective space. We also prove that the base space of Lagrangian fibration from a cohomologically symplectic variety is isomorphic to the projective space provided that the base space is smooth. We consider base spaces of Lagrangian fibrations from singular symplectic varieties.After defining cohomologically irreducible symplectic varieties,we construct an example of Lagrangian fibration whose base space is isomorphic to a quotient of the projective space.We also prove that the base space of Lagrangian fibration from a cohomologically symplectic variety is isomorphic to the projective space provided that the base space is smooth.

作者 MATSUSHITA Daisuke

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE CSCD 2015年第3期531-542,共12页 中国科学：数学（英文版）

基金 supported by Japan Society for Promotion of Sciences(Grant No.18684001)

关键词 Lagrangian fibration singularity base manifolds symplectic varieties 拉格朗日射影空间歧管基础空间纤维化品种同构

分类号 O189.3 [理学—基础数学]

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On base manifolds of Lagrangian fibrations

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