Arakelov's theorem for abelian varieties

DOI10.1007/BF01388431zbMath0588.14025OpenAlexW2004653144MaRDI QIDQ1073124

Gerd Faltings

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143050

zbMATH Keywords

Shafarevich conjectureTate conjecturefiniteness of the number of families of principally polarized abelian varieties

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Finite ground fields in algebraic geometry (14G15) Arithmetic ground fields for abelian varieties (14K15)

Related Items (31)

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Cites Work

• Hirzebruch's proportionality theorem in the non-compact case
• Variation of Hodge structure: The singularities of the period mapping
• Compactification of arithmetic quotients of bounded symmetric domains
• Théorie de Hodge. II. (Hodge theory. II)
• Unnamed Item
• Unnamed Item

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