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The document discusses multiplicity structures on analytic and algebraic curves within complex manifolds, focusing on the construction and properties of these structures. It introduces the Ferrand construction for creating multiplicity structures and examines higher multiplicities, particularly in the context of Cohen-Macaulay subspaces. The paper aims to provide a systematic study of these structures, including their applications in vector bundles and the classification of various multiplicity types.
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- kd9fwpkfnv
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- EN