# Complex Vector Bundles Over Compact Riemann Surfaces

Yu. L. Rodin
Published 1988 · Physics

1. Define for every open set of points U on a closed Riemann surface a module (group, vector space) H (U), so that for each pair of open sets $$U \in V$$ there is a homorphism $$psi _U^V:H(V) \to H(U)$$ (9.1) satisfying the condition $$psi _U^V\psi _V^W = \psi _{U,}^WU \subset V \subset W$$ .

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