On base manifolds of Lagrangian fibrations

作     者：MATSUSHITA Daisuke 

作者机构：Department of Mathematics Hokkaido University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2015年第58卷第3期

页      面：531-542页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Japan Society for Promotion of Sciences(Grant No.18684001) 

主　　题：Lagrangian fibration singularity base manifolds symplectic varieties 

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.