• Corpus ID: 231741260

Rigidity, Residues and Duality: Overview and Recent Progress

  title={Rigidity, Residues and Duality: Overview and Recent Progress},
  author={Amnon Yekutieli},
In this article we explain the theory of rigid residue complexes in commutative algebra and algebraic geometry, summarizing the background, recent results and anticipated future results. Unlike all previous approaches to Grothendieck Duality, the rigid approach concentrates on the construction of rigid residue complexes over rings, and their intricate yet robust properties. The geometrization, i.e. the passage to rigid residue complexes on schemes and Deligne-Mumford (DM) stacks, by gluing, is… 


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