Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups

DOI10.1142/S1793042122500750OpenAlexW4206383567WikidataQ114071822 ScholiaQ114071822MaRDI QIDQ5082477

Akira Sarashina

Publication date: 16 June 2022

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

Full work available at URL: https://doi.org/10.1142/s1793042122500750

zbMATH Keywords

elliptic curvesanabelian geometryétale fundamental groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Elliptic curves (14H52) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Limits, profinite groups (20E18) Elliptic curves over local fields (11G07)

Cites Work

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• Reconstruction of one-punctured elliptic curves in positive characteristic by their geometric fundamental groups
• Mathematics of Public Key Cryptography
• The Arithmetic of Elliptic Curves
• Abelian varieties over finite fields

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