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Iwasawa theory of Frobenius-torsion class group schemes

Published 19 Jul 2024 in math.NT and math.AG | (2407.13966v1)

Abstract: We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $\mathbf{Z}_p$-towers over the projective line in characteristic $p$, thereby proving several of the main conjectures of [arXiv:2107.12555].

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