Supersymmetric elliptic curves
type: Item
instance of: scholarly article
title: Supersymmetric elliptic curves
zbMATH Open document ID: 0643.14018
DOI: 10.1007/BF02577144
publication date: 1987-01-01T00:00:00Z
review text: The note in question follows the line of Yu. Manin's book on supergeometry [\textit{Yu. I. Manin}, ``Gauge fields and complex geometry'' (Moskva 1984; Zbl 0576.53002)]. The supersymmetric (SUSY) structure is considered to be a reasonable supergeometric analog of the complex structure. A curve is a supermanifold of the dimension (1\(| 1)\). A specific family of elliptic supersymmetric curves is considered quite similar to a family of elliptic complex curves over the upper halfplane. Period mappings of arbitrary elliptic SUSY-families into the family under consideration are constructed and the supergroups of their automorphisms are supercomputed.
Mathematics Subject Classification ID: 14H99
Mathematics Subject Classification ID: 32G20
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 14H15
zbMATH DE Number: 4047866
zbMATH Keywords: supergroups of automorphisms
zbMATH Keywords: supergeometry
zbMATH Keywords: supermanifold
zbMATH Keywords: elliptic supersymmetric curves
zbMATH Keywords: SUSY
author: A. Levin
MaRDI profile type: Publication
cites work: The Weil representation, Maslov index and theta series
cites work: Q3697706
cites work: Theta functions on Riemann surfaces
full work available at URL: https://doi.org/10.1007/bf02577144
OpenAlex ID: W2315882137
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4047866