An application of Lazard's theory of \(p\)-adic Lie groups to torsion Selmer pointed sets

MaRDI QIDQ6171991

Do-Hyeong Kim

Publication date: 18 July 2023

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-60/issue-3/An-application-of-Lazards-theory-of-p-adic-Lie-groups/5631ojm.full

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Iwasawa theory (11R23) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• A control theorem for the torsion Selmer pointed set
• Explicit Chabauty-Kim for the split Cartan modular curve of level 13
• Rational points of Abelian varieties with values in towers of number fields
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}
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