On the arithmetic of abelian varieties
-
Mohamed Saïdi
and
Akio Tamagawa
Abstract
We prove some new results on the arithmetic of abelian varieties over function fields of
one variable over finitely generated (infinite) fields. Among other things, we introduce certain
new natural objects “discrete Selmer groups” and “discrete Shafarevich–Tate groups”,
and prove that they are finitely generated
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On the arithmetic of abelian varieties
- On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow
- On derivatives of p-adic L-series at s = 0
- An elementary proof of the Eichler–Selberg trace formula
- The free group on n generators modulo n + u random relations as n goes to infinity
- On the equidistribution of some Hodge loci
- Les formules des traces relatives de Jacquet–Rallis grossières
- On a duality theorem of Schneider–Stuhler
- On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth
Articles in the same Issue
- Frontmatter
- On the arithmetic of abelian varieties
- On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow
- On derivatives of p-adic L-series at s = 0
- An elementary proof of the Eichler–Selberg trace formula
- The free group on n generators modulo n + u random relations as n goes to infinity
- On the equidistribution of some Hodge loci
- Les formules des traces relatives de Jacquet–Rallis grossières
- On a duality theorem of Schneider–Stuhler
- On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth
