Random Dieudonné modules, random -divisible groups, and random curves over finite fields

DOI10.1017/S1474748012000862zbMath1284.14055arXiv1201.0822OpenAlexW2067832423MaRDI QIDQ2841764

Jordan S. Ellenberg, David Zureick-Brown, Bryden Cais

Publication date: 30 July 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0822

zbMATH Keywords

random matrices\(p\)-divisible groupalgebraic curveDieudonné modulearithmetic statistics

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Random matrices (algebraic aspects) (15B52) Formal groups, (p)-divisible groups (14L05) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (5)

\(a\)-numbers of curves in Artin-Schreier covers ⋮ THE DISTRIBUTION OF TORSION SUBSCHEMES OF ABELIAN VARIETIES ⋮ Curves in characteristic \(2\) with non-trivial \(2\)-torsion ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ Computing quadratic function fields with high 3-rank via cubic field tabulation

Uses Software

• Magma

Cites Work

• Unnamed Item
• On the Jacobian varieties of hyperelliptic curves over fields of characteristic \(p>2\)
• A probabilistic approach to conjugacy classes in the finite symplectic and orthogonal groups
• The distribution of class groups of function fields
• On the Distribution of Class Groups of Number Fields
• Random maximal isotropic subspaces and Selmer groups
• Foliations in moduli spaces of abelian varieties
• The first de Rham cohomology group and Dieudonné modules

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