Every $BT_1$ group scheme appears in a Jacobian

DOI10.1090/proc/15681zbMath1483.14054arXiv2101.07946OpenAlexW3170202284MaRDI QIDQ5020691

Rachel J. Pries, Douglas L. Ulmer

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.07946

zbMATH Keywords

Jacobianfinite fieldabelian varietyde Rham cohomologycurve\(p\)-divisible groupFrobeniusDieudonné modulegroup schemeFermat curveverschiebung

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Arithmetic ground fields for abelian varieties (14K15) de Rham cohomology and algebraic geometry (14F40) Higher degree equations; Fermat's equation (11D41) Formal groups, (p)-divisible groups (14L05) Group schemes (14L15)

Related Items (1)

IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp

Cites Work

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• Sur les Périodes des Intégrales Abéliennes
• Serre–Tate theory for moduli spaces of PEL type
• The Determinants of Certain Mordell-Weil Lattices
• The first de Rham cohomology group and Dieudonné modules

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