Balanced Superprojective Varieties

Details Balanced Superprojective Varieties Balanced Superprojective Varieties

2007-07-28

arxiv.org/abs/0707.4246v1

Physics

Mathematical Physics

24 pages, Latex, no figures

Scientific paper

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.

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