2018•arXiv (Cornell University)Open access
Non-Projected Supermanifolds and Embeddings in Super Grassmannians
Simone Noja
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Abstract
In this paper we give a brief account of the relations between non-projected supermanifolds and projectivity in supergeometry. Following the general results of arXiv:1706.01354, we study an explicit example of non-projected and non-projective supermanifold over the projective plane and we show how to embed it into a super Grassmannian. The geometry of super Grassmannians is also reviewed in details.
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