Kummer-faithful fields which are not sub-\(p\)-adic

DOI10.1007/s40993-022-00311-2OpenAlexW4221063765WikidataQ114218063 ScholiaQ114218063MaRDI QIDQ2122573

Sachiko Ohtani

Publication date: 7 April 2022

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-022-00311-2

zbMATH Keywords

cyclotomic extensionsPAC fieldsinfinite algebraic extensionscusp forms of level 1division points of an elliptic curveKummer-faithful fields

Mathematics Subject Classification ID

Rational points (14G05) Other number fields (11R21) Field arithmetic (12E30)

Related Items (1)

Corrigendum to: ``Kummer-faithful fields which are not sub-\(p\)-adic

Uses Software

• LMFDB

Cites Work

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• Roots of unity over large algebraic fields
• The local pro-p anabelian geometry of curves
• Finiteness theorems for torsion of abelian varieties over large algebraic fields
• Inverse limits of compact spaces
• ON THE GROTHENDIECK CONJECTURE FOR AFFINE HYPERBOLIC CURVES OVER KUMMER-FAITHFUL FIELDS
• The section conjecture over large algebraic extensions of finitely generated fields

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