Rosenberg's Reconstruction Theorem (after Gabber)

Abstract

Alexander L. Rosenberg has constructed a spectrum for abelian categories which is able to reconstruct a quasi-separated scheme from its abelian category of quasi-coherent sheaves. In this note we present a detailed proof of this result which is due to Ofer Gabber.

18 pages; revised Thm 5.4

References in corpus (3)

• Tannaka Duality for Geometric Stacks
• A characterization of categories of coherent sheaves of certain algebraic stacks
• Which abelian tensor categories are geometric?

Cited by in corpus (2)

• Classification of categorical subspaces of locally noetherian schemes
• Nilpotent invariant motives I