Fontaine's property (Pm) at the maximal ramification break
Takashi Suzuki, Manabu Yoshida
TL;DR
This paper characterizes when local field extensions satisfy Fontaine's property (Pm) at a specific ramification break, using local class field theory to provide a complete classification.
Contribution
It provides a complete characterization of extensions satisfying Fontaine's property (Pm) at a given ramification break, advancing understanding of local field extensions.
Findings
Complete classification of extensions satisfying Fontaine's property (Pm)
Utilization of Serre and Hazewinkel's local class field theory
Clarification of Fontaine's property at the maximal ramification break
Abstract
We completely determine which extension of local fields satisfies Fontaine's property (Pm) for a given real number m. A key ingredient of the proof is the local class field theory of Serre and Hazewinkel.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology