Profinite Groups, Arithmetic, and Geometry
Stephen S. Shatz
Mas 2016 · Annals of Mathematics Studies Ibhuku elingu-67 · Princeton University Press
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In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.
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