Non-Projected Supermanifolds and Embeddings in Super Grassmannians

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.

arXiv commentContribution to the Special Issue of Universe "Super Geometry for Super Strings". arXiv admin note: text overlap with arXiv:1706.01354

References in corpus (6)

• Projective Superspaces in Practice
• Supergeometry of $\Pi$-Projective Spaces
• One-Dimensional Super Calabi-Yau Manifolds and their Mirrors
• Non Projected Calabi-Yau Supermanifolds over ${\mathbb{P}}^2$
• The Segre embedding of the quantum conformal superspace
• Superstring Field Theory, Superforms and Supergeometry