Supersymmetric elliptic curves
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.
scientific article; zbMATH DE number 4047866