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**publisher and metadata sources**).Discrete groups of motions of spaces of constant curvature, as well as other groups that can be regarded as such (although they may be defined differently), arise naturally in different areas of… Continue Reading

i. We consider a complex crystallographic group W, i.e., a discrete group of affine transformations of a complex affine space V such that the quotient X = V/W is compact. We assume that W is… Continue Reading

Denote by M the mapping class group of a closed orientable surface of genus g > 2 and consider the normal subgroup of M consisting of the classes of diffeomorphisms which act identically on the… Continue Reading

We find all pairs (Γ,a) consisting of a cocompact Fuchsian group Γ of genus zero and an automorphy factor a of Γ for which the graded algebra of a-Γ-automorphic forms is free.