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arXiv · 2407.13966

Iwasawa theory of Frobenius-torsion class group schemes

Jeremy Booher·Bryden Cais·Joe Kramer-Miller·James Upton
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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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Jeremy Booher, Bryden Cais, Joe Kramer-Miller, James Upton. 2024-07-19. Iwasawa theory of Frobenius-torsion class group schemes. https://arxiv.org/abs/2407.13966

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