Elsevier
Differential Geometry and its Applications
,  volume 65 ,  pages 212-226

Dimension preserving resolutions of singular Poisson structures

Publication type: Journal Article
Publication date: 2019-08-01
Elsevier
scimago Q2
wos Q2
SJR: 0.504
CiteScore: 1.3
Impact factor: 0.7
ISSN: 09262245, 18726984
Computational Theory and Mathematics
Analysis
Geometry and Topology
Abstract
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.
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GOST Copy
Lassoued H. Dimension preserving resolutions of singular Poisson structures // Differential Geometry and its Applications. 2019. Vol. 65. pp. 212-226.
GOST all authors (up to 50) Copy
Lassoued H. Dimension preserving resolutions of singular Poisson structures // Differential Geometry and its Applications. 2019. Vol. 65. pp. 212-226.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1016/j.difgeo.2019.04.001
UR - https://doi.org/10.1016/j.difgeo.2019.04.001
TI - Dimension preserving resolutions of singular Poisson structures
T2 - Differential Geometry and its Applications
AU - Lassoued, Hichem
PY - 2019
DA - 2019/08/01
PB - Elsevier
SP - 212-226
VL - 65
SN - 0926-2245
SN - 1872-6984
ER -
BibTex
Cite this
BibTex (up to 50 authors) Copy
@article{2019_Lassoued,
author = {Hichem Lassoued},
title = {Dimension preserving resolutions of singular Poisson structures},
journal = {Differential Geometry and its Applications},
year = {2019},
volume = {65},
publisher = {Elsevier},
month = {aug},
url = {https://doi.org/10.1016/j.difgeo.2019.04.001},
pages = {212--226},
doi = {10.1016/j.difgeo.2019.04.001}
}