Balanced Superprojective Varieties
Mathematical Physics
2007-07-31 v1 High Energy Physics - Theory
math.MP
Abstract
We first review the definition of superprojective spaces from the functor-of-points perspective. We derive the relation between superprojective spaces and supercosets in the framework of the theory of sheaves. As an application of the geometry of superprojective spaces, we extend Donaldson's definition of balanced manifolds to supermanifolds and we derive the new conditions of a balanced supermanifold. We apply the construction to superpoints viewed as submanifolds of superprojective spaces. We conclude with a list of open issues and interesting problems that can be addressed in the present context.
Keywords
Cite
@article{arxiv.0707.4246,
title = {Balanced Superprojective Varieties},
author = {R. Catenacci and M. Debernardi and P. A. Grassi and D. Matessi},
journal= {arXiv preprint arXiv:0707.4246},
year = {2007}
}
Comments
24 pages, Latex, no figures