Variance and Duality for Cousin Complexes on Formal Schemes

Released on by Joseph Lipman
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  • Variance and Duality for Cousin Complexes on Formal Schemes Book Detail

  • Author : Joseph Lipman
  • Release Date : 2005
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 290
  • ISBN 13 : 0821837052
  • File Size : 30,30 MB
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Variance and Duality for Cousin Complexes on Formal Schemes by Joseph Lipman PDF Summary

Book Description: 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.

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