Dimension preserving resolutions of singular Poisson structures

被引：0
|
作者：
Lassoued, Hichem [1 ,2 ]
机构：
[1] Univ Badji Mokhtar Annaba, LANOS, BP 12, Annaba 23000, Algeria
[2] Univ Lorraine, IECL, UMR 7502, Rue Augustin Fresnel, F-57000 Metz, France
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2019年 / 65卷
关键词：
LOCAL-STRUCTURE;
D O I：
10.1016/j.difgeo.2019.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give examples of Poisson structures that admit symplectic resolutions of the same dimension. We also give a simple condition under which proper in the smooth case or semi-connected symplectic resolutions in the real analytic and holomorphic case can not exist: open symplectic leaves have to be dense and the singular locus can not be of codimension one. (C) 2019 Published by Elsevier B.V.
引用
收藏
页码：212 / 226
页数：15
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