Field patching, factorization and local-global principles

Mathematics – Algebraic Geometry

Scientific paper

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31 pages

Scientific paper

In this paper we first describe the method of field patching, developed by
Harbater and Hartmann, paying special attention to the relationship between
factorization and local-global principles, and second, we extend the basic
factorization result previously known for rational groups to the case of
retract rational groups.

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