The étale fundamental group of the Néron model of an abelian variety over K is the semidirect product of a finite group with the étale fundamental group of O_K.
Bornes pour la torsion des courbes elliptiques sur les corps de nombres
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Under the stated conditions on p and q, the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of K = ℚ(√(pq)) is zero.
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
citing papers explorer
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Finiteness for \'{E}tale Fundamental Groups of N\'{e}ron Models
The étale fundamental group of the Néron model of an abelian variety over K is the semidirect product of a finite group with the étale fundamental group of O_K.
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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.
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Solvable Descent and the Grunwald Problem for Solvable Groups
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.