van Dobben de Bruyn, Remy. "Grothendieck Galois theory and 'etale exodromy." arXiv preprint arXiv:2410.06278 (2024).
This paper aims to provide a simplified and more accessible proof of the étale exodromy theorem for constructible sheaves of sets, a fundamental result in algebraic geometry.
The author employs concepts from Grothendieck's Galois theory and utilizes profinite categories to establish a correspondence between constructible sheaves and continuous functors on a specific category. The proof relies on demonstrating the "local fullness" and "local essential surjectivity" of this correspondence.
The paper offers a valuable contribution to algebraic geometry by providing a simplified and more intuitive proof of the étale exodromy theorem for constructible sheaves of sets. This approach enhances the accessibility of the theorem and facilitates its application in various contexts.
This work simplifies a fundamental theorem in étale cohomology, making it more accessible and potentially opening avenues for further research and applications.
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by Remy van Dob... at arxiv.org 10-10-2024
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