Simplicial toric varieties as leaf spaces
Algebraic Geometry
2017-06-26 v1 Complex Variables
Symplectic Geometry
Abstract
We present a summary of some results from our article [BZ1] and other recent results on the so-called LVMB manifolds. We emphasize some features by taking a different point of view. We present a simple variant of the Delzant construction, in which the group that is used to perform the symplectic reduction can be chosen of arbitrarily high dimension, and is always connected.
Cite
@article{arxiv.1706.07670,
title = {Simplicial toric varieties as leaf spaces},
author = {Fiammetta Battaglia and Dan Zaffran},
journal= {arXiv preprint arXiv:1706.07670},
year = {2017}
}
Comments
21 pages, 4 figures. To appear in the proceedings of the workshop "New perspectives in differential geometry: special metrics and quaternionic geometry" Rome, 16-20 November 2015, Springer-INdAM Series