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Variance and Duality for Cousin Complexes on Formal Schemes Book PDF Summary

Robert Hartshorne's book, Residues and Duality (1966, Springer-Verlag), introduced the notion of residual complexes and developed a duality theory (Grothendieck duality) on the category of maps of noetherian schemes. The three articles in this volume constitute a reworking of the main parts of the corresponding chapters in Hartshorne's 1966 book in greater generality using a somewhat different approach. In particular, throughout this volume, the authors work with arbitrary (quasi-coherent, torsion) Cousin complexes on formal schemes, not only with residual complexes on ordinary schemes. Additionally, their motivation is to help readers gain a better understanding of the relation between local properties of residues and global properties of the dualizing pseudofunctor. The book is suitable for graduate students and researchers working in algebraic geometry.

Detail Book of Variance and Duality for Cousin Complexes on Formal Schemes PDF

Variance and Duality for Cousin Complexes on Formal Schemes
  • Author : Joseph Lipman
  • Release : 21 September 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821837054
  • Genre : Mathematics
  • Total Page : 290 pages
  • Language : English
  • PDF File Size : 8,9 Mb

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