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Vector bundles and modular forms for Fuchsian groups of genus zero

Vector bundles and modular forms for Fuchsian groups of genus zero

This article lays the foundations for the study of modular forms transforming with respect to representations of Fuchsian groups of genus zero. More precisely, we define geometrically weighted graded modules of such modular forms, where the graded structure comes from twisting with all isomorphism classes of line bundles on the …