Abstract
In his Cours d’Analyse in 1904, Georges Humbert used the parametrization of a pencil of conics through four points by the Weierstrass p-function to prove theorems of geometry and mechanics. This method is implicit in his earlier applications of Kummer surfaces, for instance his criterion for real multiplication by \( \sqrt 2 \) uses the special “quarter-period” configuration in the pencil.
Presented at the New York Number Theory Seminar 6 Nov. 1997.
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Cohn, H. (2004). Humbert’s Conic Model and the Kummer Surface. In: Chudnovsky, D., Chudnovsky, G., Nathanson, M. (eds) Number Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9060-0_7
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