On \(BT_1\) group schemes and Fermat curves

zbMath1471.11200arXiv2010.15160MaRDI QIDQ2045867

Douglas L. Ulmer, Rachel J. Pries

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15160

zbMATH Keywords

Jacobianfinite fieldabelian varietyde Rham cohomologycurveFrobeniusDieudonné modulegroup schemeFermat curveVerschiebungEkedahl-Oort type

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) Arithmetic ground fields for abelian varieties (14K15) de Rham cohomology and algebraic geometry (14F40) Higher degree equations; Fermat's equation (11D41) Group schemes (14L15)

Related Items (2)

Computing discrete invariants of varieties in positive characteristic. I: Ekedahl-Oort types of curves ⋮ Every $BT_1$ group scheme appears in a Jacobian

Cites Work

• On the Jacobian variety of the Fermat curve
• The p-rank of Artin-Schreier curves
• \(p\)-descent in characteristic \(p\)
• On the Brauer-Siegel ratio for abelian varieties over function fields
• Cycles on the Moduli Space of Abelian Varieties

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