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A generalization of a formula of Eisenstein. (English) Zbl 0738.14019

A classical formula of Eisenstein generates elliptic units by evaluating elliptic functions at torsion points of \(y^ 2=x^ 3+1/4\). A generalization to genus two is derived by evaluating Abelian functions at intersections of divisors on the Jacobian of the curve \(y^ 2=x^ 5+1/4\).
Reviewer: D.Grant (Boulder)

MSC:

14H52 Elliptic curves
14C05 Parametrization (Chow and Hilbert schemes)
11G16 Elliptic and modular units
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