Ekedahl, Torsten; Serre, Jean-Pierre Examples of algebraic curves with totally split Jacobian. (Exemples de courbes algébriques à jacobienne complètement décomposable.) (French) Zbl 0789.14026 C. R. Acad. Sci., Paris, Sér. I 317, No. 5, 509-513 (1993). The authors prove the following theorem: If \(g\) belongs to the set \(S=(1\),…,29, 31, 33, 37, 40, 41, 43, 45, 47, 49, 50, 53, 55, 57, 61, 65, 73, 82, 97, 109, 121, 129, 145, 163, 217, 257, 325, 433, 649, 1297) then there exists a curve of genus \(g\) whose Jacobian is isogenous to a product of elliptic curves. These curves are constructed either as modular curves or as coverings of curves of genus 2 or 3. The theorem includes all well known examples of algebraic curves with decomposable Jacobians and many new ones in addition. Reviewer: V.Z.Enol’skij (Kiev) Cited in 3 ReviewsCited in 19 Documents MSC: 14H40 Jacobians, Prym varieties Keywords:genus; Jacobian; isogenous to a product of elliptic curves PDFBibTeX XMLCite \textit{T. Ekedahl} and \textit{J.-P. Serre}, C. R. Acad. Sci., Paris, Sér. I 317, No. 5, 509--513 (1993; Zbl 0789.14026)