Zeta functions of Z_p-towers of curves

DOI10.3969/j.issn.1001-8395.2018.04.001zbMath1424.11135arXiv1912.01571MaRDI QIDQ4624623

Daqing Wan

Publication date: 22 February 2019

Full work available at URL: https://arxiv.org/abs/1912.01571

zbMATH Keywords

genusZeta functionalgebraic geometry\(\mathbb{Z}_p\)-tower

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

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\(p\)-adic Wan-Riemann hypothesis for \(\mathbb{Z}_p\)-towers of curves ⋮ Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers

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