Supersymmetric elliptic curves
Copyright policy )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.
supergeometry, Families, moduli of curves (analytic), supergroups of automorphisms, supermanifold, elliptic supersymmetric curves, SUSY, Period matrices, variation of Hodge structure; degenerations, Curves in algebraic geometry, Applications of global differential geometry to the sciences
supergeometry, Families, moduli of curves (analytic), supergroups of automorphisms, supermanifold, elliptic supersymmetric curves, SUSY, Period matrices, variation of Hodge structure; degenerations, Curves in algebraic geometry, Applications of global differential geometry to the sciences
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