Secant functions, the Reiss relation and its converse
Mark L. Green
Trans. Amer. Math. Soc. 280 (1983), 499-507
Primary 14N05; Secondary 14C17, 53A20
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Abstract: Generalizing a classical Euclidean theorem for the circle, certain meromorphic functions on relating to the geometry of algebraic plane curves are shown to be constant. Differentiated twice, this gives a new proof of the Reiss relation and its converse. The relation of these functions to Abel's Theorem is discussed, and a generalization of secant functions to space curves is given, for which the Chow form arises in a natural way.
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