There are no abelian varieties over $\mathbb Z$.

DOI10.1007/BF01388584zbMath0612.14043MaRDI QIDQ1087951

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/143270

zbMATH Keywords

good reduction Néron models conjecture of Shafarevich nonexistence of abelian varieties

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic ground fields for abelian varieties (14K15)

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Cites Work

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There are no abelian varieties over \(\mathbb Z\).