Families of Explicitly Isogenous Jacobians of Variable-separated Curves
نویسنده
چکیده
We construct six infinite series of families of pairs of curves (X, Y ) of arbitrarily high genus, defined over number fields, together with an explicit isogeny JX → JY splitting multiplication by 2, 3, or 4. The families are derived from Cassou–Noguès and Couveignes’ explicit classification of pairs (f, g) of polynomials such that f(x1)− g(x2) is reducible.
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تاریخ انتشار 2011