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Families of explicitly isogenous Jacobians of variable-separated curves
Families of explicitly isogenous Jacobians variable-separated curves
2010/12/1
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...
We study Esteves’s fine compactified Jacobians for nodal curves. We give a proof of the fact that, for a one-parameter regular local smoothing of a nodal curve X.