Newton polygons arising from special families of cyclic covers of the projective line

DOI10.1007/s40993-018-0149-3zbMath1460.11088arXiv1805.06914OpenAlexW3104068867WikidataQ128624259 ScholiaQ128624259MaRDI QIDQ2316330

Yunqing Tang, Elena Mantovan, Wanlin Li, Rachel J. Pries

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06914

zbMATH Keywords

JacobianNewton polygonreductionabelian varietycurvemoduli space\(p\)-divisible group\(p\)-rankDieudonné modulesupersingularShimura varietycyclic coverEkedahl-Oort typeKottwitz methodPEL-type

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Coverings of curves, fundamental group (14H30) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (6)

THE BOUNDARY OF THE p-RANK STRATUM OF THE MODULI SPACE OF CYCLIC COVERS OF THE PROJECTIVE LINE ⋮ Ekedahl-Oort strata on the moduli space of curves of genus four ⋮ The existence of supersingular curves of genus 4 in arbitrary characteristic ⋮ Some unlikely intersections between the Torelli locus and Newton strata in \(\mathcal{A}_g\) ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields ⋮ p-Adic estimates of abelian Artin L-functions on curves

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