MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Deformation of 2-step nilmanifolds with abelian complex structures

C Maclaughlin Henrik Pedersen Yat Sun Poon Simon Salamon

Differential Geometry mathscidoc:1910.43795

Journal of the London Mathematical Society, 73, (1), 173-193, 2006.2
We develop deformation theory for abelian invariant complex structures on a nilmanifold, and prove that in this case the invariance property is preserved by the Kuranishi process. A purely algebraic condition characterizes the deformations leading again to abelian structures, and we prove that such deformations are unobstructed. Various examples illustrate the resulting theory, and the behavior possible in three complex dimensions.
No keywords uploaded!
[ Download ] [ 2019-10-20 22:04:56 uploaded by ypoon ] [ 706 downloads ] [ 0 comments ] 
@inproceedings{c2006deformation,
  title={Deformation of 2-step nilmanifolds with abelian complex structures},
  author={C Maclaughlin, Henrik Pedersen, Yat Sun Poon, and Simon Salamon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220456163631324},
  booktitle={Journal of the London Mathematical Society},
  volume={73},
  number={1},
  pages={173-193},
  year={2006},
}
C Maclaughlin, Henrik Pedersen, Yat Sun Poon, and Simon Salamon. Deformation of 2-step nilmanifolds with abelian complex structures. 2006. Vol. 73. In Journal of the London Mathematical Society. pp.173-193. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220456163631324.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved