scientific article; zbMATH DE number 7551765

zbMath1490.11063MaRDI QIDQ5086241

Amílcar Pacheco, Marc Hindry

Publication date: 1 July 2022

Full work available at URL: http://www.mathjournals.org/mmj/2022-022-001/2022-022-001-007.html

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zbMATH Keywords

abelian varietiesheightsglobal fieldsBrauer-Siegel theoremBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)

Cites Work

• Nonabelian Hodge theory in characteristic \(p\)
• An Arakelov inequality in characteristic \(p\) and upper bound of \(p\)-rank zero locus
• Unnamed Item

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