Iwasawa-theoretic results for abelian varieties over Z_p^2-extensions are applied to Diophantine stability and used to refine the Mazur growth conjecture, with extension to the supersingular case.
Greenberg, Iwasawa theory for elliptic curves, in: Arithmetic theory of elliptic curves (Cetraro, 1997), 51-144, Lecture Notes in Math., 1716, Springer, Berlin
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions
Iwasawa-theoretic results for abelian varieties over Z_p^2-extensions are applied to Diophantine stability and used to refine the Mazur growth conjecture, with extension to the supersingular case.