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math.NT2022★ 2 cited
Explicit non-Gorenstein R=T via rank bounds II: Computational aspects
Catherine Hsu, Preston Wake, Carl Wang-Erickson
This is the second in a pair of papers about residually reducible Galois deformation rings with non-optimal level. In the first paper, we proved a Galois-theoretic criterion for th…
math.NT2022
Explicit non-Gorenstein R=T via rank bounds I: Deformation theory
Catherine Hsu, Preston Wake, Carl Wang-Erickson
Ribet has proven remarkable results about non-optimal levels of residually reducible Galois representations. We focus on a non-optimal level that is the product of two distinct…
math.NT2022★ 3 cited
Another look at rational torsion of modular Jacobians
Kenneth A. Ribet, Preston Wake
We study the rational torsion subgroup of the modular Jacobian for a square-free integer. We give a new proof of a result of Ohta on a generalization of Ogg's conjectu…