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Article

Non-Projected Supermanifolds and Embeddings in Super Grassmannians

by
Simone Noja
1,2
1
Dipartimento di Scienze e Innovazione Tecnologica—Università del Piemonte Orientale, Via T. Michel 11, 15121 Alessandria, Italy
2
Istituto Nazionale di Fisica Nucleare—Sezione di Torino, via P. Giuria 1, 10125 Torino, Italy
Universe 2018, 4(11), 114; https://doi.org/10.3390/universe4110114
Submission received: 28 August 2018 / Revised: 28 October 2018 / Accepted: 1 November 2018 / Published: 5 November 2018
(This article belongs to the Special Issue Super Geometry for Super Strings)
Versions Notes

Abstract

In this paper we give a brief account of the relations between non-projected supermanifolds and projectivity in supergeometry. Following the general results (L. Sergio et al., 2018), we study an explicit example of non-projected and non-projective supermanifold over the projective plane and show how to embed it into a super Grassmannian. The geometry of super Grassmannians is also reviewed in detail.
Keywords: supermanifold; Grassmannian algebra; superspace supermanifold; Grassmannian algebra; superspace

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MDPI and ACS Style

Noja, S. Non-Projected Supermanifolds and Embeddings in Super Grassmannians. Universe 2018, 4, 114. https://doi.org/10.3390/universe4110114

AMA Style

Noja S. Non-Projected Supermanifolds and Embeddings in Super Grassmannians. Universe. 2018; 4(11):114. https://doi.org/10.3390/universe4110114

Chicago/Turabian Style

Noja, Simone. 2018. "Non-Projected Supermanifolds and Embeddings in Super Grassmannians" Universe 4, no. 11: 114. https://doi.org/10.3390/universe4110114

APA Style

Noja, S. (2018). Non-Projected Supermanifolds and Embeddings in Super Grassmannians. Universe, 4(11), 114. https://doi.org/10.3390/universe4110114

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