Exact holomorphic differentials on a quotient of the Ree curve

DOI10.1016/j.jalgebra.2013.11.016zbMath1307.14035OpenAlexW2022856689MaRDI QIDQ405836

Neil Dummigan, Shabieh Farwa

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.11.016

zbMATH Keywords

Cartier operatorFrobenius morphism\(a\)-numberJacobian of curveRee curvethe Shafarevich-Tate group

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Finite ground fields in algebraic geometry (14G15) Schemes and morphisms (14A15)

Related Items (4)

The \(a\)-numbers of Fermat and Hurwitz curves ⋮ IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp ⋮ \(a\)-numbers of curves in Artin-Schreier covers ⋮ Holomorphic differentials of generalized Fermat curves

Cites Work

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• Moduli of supersingular abelian varieties
• \(p\)-descent in characteristic \(p\)
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• The 𝑎-numbers of Jacobians of Suzuki curves
• Number of rational places of subfields of the function field of the Deligne–Lusztig curve of Ree type
• The Galois-module structure of the space of holomorphic differentials of a curve.
• Group Representations and Lattices
• Subfields of the function field of the Deligne–Lusztig curve of Ree type
• The Determinants of Certain Mordell-Weil Lattices

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