The Hasse principle for finite Galois modules allowing exceptional sets of positive density

DOI10.1142/S179304212250097XOpenAlexW4229451738WikidataQ114071801 ScholiaQ114071801MaRDI QIDQ5094196

Tetsushi Ito, Yasuhiro Ishitsuka

Publication date: 2 August 2022

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

Full work available at URL: https://arxiv.org/abs/1807.09909

zbMATH Keywords

Galois cohomologyHasse principlelocal-global divisibility problemflexes on cubic curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) Galois cohomology (11R34)

Uses Software

• GAP

Cites Work

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• The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
• The Hesse pencil of plane cubic curves
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• On the number of fixed point free elements in a permutation group
• Power residues on Abelian varieties
• Hesse pencils and 3-torsion structures
• The local-global principle for symmetric determinantal representations of smooth plane curves
• Local-global divisibility of rational points in some commutative algebraic groups
• Classical Algebraic Geometry
• The Hasse Principle for Lines on del Pezzo Surfaces
• Field Arithmetic
• Polynomials with roots in ℚ_{𝕡} for all 𝕡
• On a theorem of Jordan
• Rational points in Henselian discrete valuation rings

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