Under the stated conditions on p and q, the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of K = ℚ(√(pq)) is zero.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Visibility theorems imply nontrivial ℓ-torsion in Sha of quadratic twists of elliptic curves with additive reduction at ℓ; for ℓ=3 this yields pairs of curves with identical BSD data and Kodaira symbols but isomorphic Sha groups containing 3-torsion.
citing papers explorer
-
On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splits
Under the stated conditions on p and q, the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of K = ℚ(√(pq)) is zero.
-
Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists
Visibility theorems imply nontrivial ℓ-torsion in Sha of quadratic twists of elliptic curves with additive reduction at ℓ; for ℓ=3 this yields pairs of curves with identical BSD data and Kodaira symbols but isomorphic Sha groups containing 3-torsion.