Non-Projected Supermanifolds and Embeddings in Super Grassmannians
Algebraic Geometry
2018-08-30 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1808.09817,
title = {Non-Projected Supermanifolds and Embeddings in Super Grassmannians},
author = {Simone Noja},
journal= {arXiv preprint arXiv:1808.09817},
year = {2018}
}
Comments
Contribution to the Special Issue of Universe "Super Geometry for Super Strings". arXiv admin note: text overlap with arXiv:1706.01354