The de Rham cohomology of the Suzuki curves

DOI10.1090/conm/722/14537zbMath1443.11105arXiv1710.08544OpenAlexW2964215292MaRDI QIDQ5236840

Beth Malmskog, Colin Weir, Rachel J. Pries

Publication date: 16 October 2019

Published in: Arithmetic Geometry: Computation and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08544

zbMATH Keywords

de Rham cohomologySuzuki groupmodular representationDieudonné moduleSuzuki curveEkedahl-Oort type

Mathematics Subject Classification ID

Modular representations and characters (20C20) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) de Rham cohomology and algebraic geometry (14F40) Representations of finite groups of Lie type (20C33) Group schemes (14L15)

Related Items (2)

𝑝-group Galois covers of curves in characteristic 𝑝 ⋮ On cohomology of generalized Suzuki curves and exponential sums

Uses Software

• Magma

Cites Work

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• Extensions of Simple Modules for Sp₄ (2 ⁿ ) and Suz(2 ^m )
• A NEW TYPE OF SIMPLE GROUPS OF FINITE ORDER
• On Weierstrass points and optimal curves
• The Determinants of Certain Mordell-Weil Lattices
• Quotient curves of the Suzuki curve
• The first de Rham cohomology group and Dieudonné modules
• On 2-Modular Representations of the Suzuki Groups

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