THE DISTRIBUTION OF TORSION SUBSCHEMES OF ABELIAN VARIETIES

DOI10.1017/S1474748014000450zbMath1370.14023arXiv1404.1809OpenAlexW3105710292MaRDI QIDQ2976258

Jeffrey D. Achter

Publication date: 28 April 2017

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

Full work available at URL: https://arxiv.org/abs/1404.1809

zbMATH Keywords

finite fieldabelian varietygroup schemearithmetic statistics

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Formal groups, (p)-divisible groups (14L05) Group schemes (14L15) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

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• The \(p\)-rank strata of the moduli space of hyperelliptic curves
• Generic Newton polygons of Ekedahl-Oort strata: Oort's conjecture
• The \(p\)-torsion subgroup scheme of an elliptic curve
• Monodromy and irreducibility of leaves
• Barsotti-Tate groups and \(p\)-adic representations of the fundamental group scheme
• Minimal \(p\)-divisible groups
• Monodromy of Hecke-invariant subvarieties
• Random Dieudonné modules, random -divisible groups, and random curves over finite fields
• The probability that the number of points on the Jacobian of a genus 2 curve is prime
• Level 𝑚 stratifications of versal deformations of 𝑝-divisible groups
• Foliations in moduli spaces of abelian varieties
• Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties

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