English

The derived category of an \'etale extension and the separable Neeman-Thomason theorem

Category Theory 2024-09-10 v1 Algebraic Geometry

Abstract

We prove that etale morphisms of schemes yield separable extensions of derived categories. We then generalize the Neeman-Thomason Localization Theorem to separable extensions of triangulated categories.

Keywords

Cite

@article{arxiv.1408.3376,
  title  = {The derived category of an \'etale extension and the separable Neeman-Thomason theorem},
  author = {Paul Balmer},
  journal= {arXiv preprint arXiv:1408.3376},
  year   = {2024}
}

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9 pages