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Displaying similar documents to “Formal cohomology, analytic cohomology and non-algebraic manifolds”

On curves with natural cohomology and their deficiency modules

Giorgio Bolondi, Jean-Claude Migliore (1993)

Annales de l'institut Fourier

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The minimal free resolution of the Hartshorne-Rao module of a curve with natural cohomology is studied, and conditions are given on the degrees and the ranks of the terms of this resolution.

On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces

Nariya Kawazumi (1993)

Annales de l'institut Fourier

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The continuous cohomology theory of the Lie algebra L ( M ) of complex analytic vector fields on an open Riemann surface M is studied. We show that the cohomology group with coefficients in the L ( M ) -module of germs of complex analytic tensor fields on the product space M n decomposes into the global part derived from the homology of M and the local part coming from the coefficients.