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Zbl 0738.30029
Teofilatto, Paolo
A natural graded Lie algebra sheaf over Riemann surfaces. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 54, No.2, 165-177 (1991). ISSN 0246-0211

A simultaneous uniformization of a family of Riemann surfaces introduced by Bers is realized here by means of a sheaf of $\bbfZ\sb 2$-graded Lie algebras defined via the bundles of projective connections of the surfaces. This allows to define a structure equivalent to that of the so called super Riemann surfaces defined by Manin. The present approach is deeply connected with the classical theory, the construction is explicit and thereby the moduli space of super Riemann surfaces can be globally given.
[A.Kaneko (Komaba)]

MSC 2000:: *30F10 Compact Riemann surfaces
32G15 Teichmüller theory
17B70 Graded Lie algebras
58A50 Supermanifolds, etc. (global analysis)

Keywords: uniformization; super Riemann surfaces; moduli

Cited in: Zbl 0765.30027

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