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Unramified Geometric Iwasawa theory of function fields

Cais, Bryden et al.
arXiv (All) · Papers
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14h30algebraic-geometrynumber-theory
For an algebraically closed field $k$ of characteristic $p>0$, we study unramified $\mathbf{Z}_p$-towers $\{X_n\}_{n\ge 0}$ of smooth, projective and connected curves over $k$. Our main result provides an Iwasawa-theoretic description of the Newton polygons of their Jacobians, establishing that the
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