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Timeline for When is the Jacobian a product?

Current License: CC BY-SA 3.0

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Oct 2, 2016 at 8:47 vote accept Alex Gavrilov
Oct 2, 2016 at 8:27 comment added Dan Petersen Yes, it's irreducible, as long as you consider only curves $C$ which admit a minimal map $C \to E$ of a given degree, where minimal means that the map doesn't factor through an isogeny of elliptic curves. These hypersurfaces are called Humbert surfaces of square discriminant.
Oct 2, 2016 at 7:53 comment added Alex Gavrilov Thank you. Is there a reason to expect this hypersurface to be irreducible?
Oct 2, 2016 at 7:37 history answered Dan Petersen CC BY-SA 3.0