Super-Hölder vectors and the field of norms

DOI10.2140/ant.2025.19.195MaRDI QIDQ6652393

Sandra Rozensztajn, Laurent Berger

Publication date: 12 December 2024

Published in: Algebra \& Number Theory (Search for Journal in Brave)

zbMATH Keywords

Lubin-Tate groupMahler basisfield of normspro-\(p\)-groupperfectoid ringlocally analytic function\(p\)-adic waveletdecompletionsuper-Hölder function

Mathematics Subject Classification ID

Galois theory (11S20) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Analysis on (p)-adic Lie groups (22E35) Ramification and extension theory (11S15) Non-Archimedean valued fields (12J25) Class field theory; (p)-adic formal groups (11S31) Power series rings (13J05)

Cites Work

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• Optimization of the Ax-Sen-Tate theorem applied to a computation in \(p\)-adic Galois cohomology
• On the Lie theory of \(p\)-adic analytic groups
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• \(p\)-adic analytic groups
• Ramification in p-adic Lie extensions
• p-Adic Lie Groups
• Canonical Cohen Rings for Norm Fields
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
• Decompletion of cyclotomic perfectoid fields in positive characteristic

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