Bezout’s theorem, that curves of degrees k and m meet in km points, forces geometers to allow complex points on a curve, but despite this incentive the step to admit complex algebraic curves was resisted until Riemann’s work in the 1850s. An important stimulus was the study of elliptic integrals, which are necessarily complex.
KeywordsRiemann Surface Elliptic Function Elliptic Integral Modern Mathematician Complex Point
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