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Studies in Duality on Noetherian Formal Schemes and Non Noetherian Ordinary Schemes Book PDF Summary

This volume contains three papers on the foundations of Grothendieck duality on Noetherian formal schemes and on not-necessarily-Noetherian ordinary schemes. The first paper presents a self-contained treatment for formal schemes which synthesizes several duality-related topics, such as local duality, formal duality, residue theorems, dualizing complexes, etc. Included is an exposition of properties of torsion sheaves and of limits of coherent sheaves. A second paper extends Greenlees-May duality to complexes on formal schemes. This theorem has important applications to Grothendieck duality. The third paper outlines methods for eliminating the Noetherian hypotheses. A basic role is played by Kiehl's theorem affirming conservation of pseudo-coherence of complexes under proper pseudo-coherent maps. This work gives a detailed introduction to the subject of Grothendieck Duality. The approach is unique in its presentation of a complex series of special cases that build up to the main results.

Detail Book of Studies in Duality on Noetherian Formal Schemes and Non Noetherian Ordinary Schemes PDF

Studies in Duality on Noetherian Formal Schemes and Non Noetherian Ordinary Schemes
  • Author : Leovigildo Alonso Tarrío
  • Release : 21 September 1999
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821819425
  • Genre : Mathematics
  • Total Page : 138 pages
  • Language : English
  • PDF File Size : 19,5 Mb

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