Abstract
It is convenient to express the basic properties of curves and, more generally, arbitrary complex manifolds, in terms of various related objects. We mean primarily spaces of meromorphic functions, vector fields, and differential forms. These spaces are endowed with natural algebraic structures, which allows one to express properties of curves in algebraic terms.
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Kazaryan, M.E., Lando, S.K., Prasolov, V.V. (2018). Differential 1-Forms on Curves. In: Algebraic Curves. Moscow Lectures, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-02943-2_7
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DOI: https://doi.org/10.1007/978-3-030-02943-2_7
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02942-5
Online ISBN: 978-3-030-02943-2
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