Newton Polygons of Cyclic Covers of the Projective Line Branched at Three Points

DOI10.1007/978-3-030-19478-9_5zbMath1436.11069arXiv1805.04598OpenAlexW2799588138MaRDI QIDQ3296200

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

Publication date: 7 July 2020

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04598

zbMATH Keywords

JacobianNewton polygonreductionabelian varietycurvemoduli spacecomplex multiplication\(p\)-divisible group\(p\)-rankDieudonné modulesupersingularcyclic coverShimura-Taniyama method

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Algebraic moduli of abelian varieties, classification (14K10) Coverings of curves, fundamental group (14H30) Complex multiplication and abelian varieties (14K22) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (4)

Vanishing of Dirichlet \(L\)-functions at the central point over function fields ⋮ Newton polygons arising from special families of cyclic covers of the projective line ⋮ On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields

Cites Work

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• On the Existence of Supersingular Curves of Given Genus
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