Some remarks on the local class field theory of Serre and Hazewinkel
Takashi Suzuki

TL;DR
This paper introduces a new approach to local class field theory by Serre and Hazewinkel and extends the discussion to two-dimensional local class field theory within this framework.
Contribution
It presents a novel perspective on local class field theory and generalizes it to two-dimensional cases, enhancing understanding of the theory's structure.
Findings
New framework for local class field theory
Extension to two-dimensional local class field theory
Improved conceptual understanding of the theory
Abstract
We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory
