RK

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Name RK
Member for 3 years
Seen 7 hours ago
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Location New York, NY
Age 25
May
12
comment Infinitely many curves with isogenous Jacobians
Err, just to clarify; I meant holomorphic/etale; I'm okay with the polarizations not matching up. @FelipeVoloch Any ideas where to find references for stuff like this? I'm having some trouble tracking anything down.
May
6
comment Infinitely many curves with isogenous Jacobians
I thought those two notions of isogeny were equivalent over the complex numbers. Don't elliptic curves provide a counterexample to your second comment? I wanted to prove that given a hyperbolic complete curve $X$, there are only finitely many hyperbolic curves it maps to. By looking at Jacobians, we are led to the above question (with the guess that the answer is no!)
May
6
asked Infinitely many curves with isogenous Jacobians