FUNCTIONAL EQUATION OF CHARACTERISTIC ELEMENTS OF ABELIAN VARIETIES OVER FUNCTION FIELDS (ℓ ≠ p)

DOI10.1142/S1793042113501194zbMath1295.11122OpenAlexW2155243923MaRDI QIDQ5408835

Aprameyo Pal

Publication date: 11 April 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042113501194

zbMATH Keywords

function fieldabelian varietyIwasawa theorySelmer group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (1)

Aspects of Iwasawa theory over function fields

Cites Work

• Torsion points of abelian varieties with values in infinite extensions over a \(p\)-adic field
• Selmer groups for elliptic curves in \(\mathbb Z_l^d \)-extensions of function fields of characteristic \(p\)
• Root numbers of semistable elliptic curves in division towers
• Torsion points on elliptic curves over function fields and a theorem of Igusa
• On the structure theory of the Iwasawa algebra of a \(p\)-adic Lie group.
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• On the codimension of modules over skew power series rings with applications to Iwasawa algebras.
• Pairings and functional equations over the GL₂ -extension^†
• Scarcity and abundance of trivial zeros in division towers
• Root numbers, Selmer groups, and non-commutative Iwasawa theory
• Self-duality of Selmer groups
• CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS
• On finite $\Lambda $-submodules of Selmer groups of elliptic curves
• On the structure of Selmer groups over 𝑝-adic Lie extensions

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