<p>The theory of descent, originating from the work of Évariste Galois and further developed by mathematicians such as Weil, Grothendieck, and Janelidze, has become a fundamental tool in algebraic geometry and category theory. This paper presents a new categorical framework for Galois descent and establishes a Galois descent theorem.</p>

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Galois descent theorem in general categories

  • Sophie Marques

摘要

The theory of descent, originating from the work of Évariste Galois and further developed by mathematicians such as Weil, Grothendieck, and Janelidze, has become a fundamental tool in algebraic geometry and category theory. This paper presents a new categorical framework for Galois descent and establishes a Galois descent theorem.