Variance and Duality for Cousin Complexes on Formal Schemes

ISBN
9780821837054
$98.00
Author Lipman, Joseph
Format Paperback
Details
  • Active Record
  • Individual Title
  • Books
  • 2005
  • 276
  • Yes
  • 375
  • Print
  • QA564.L58 2005
Robert Hartshorne's 1966 book, Residues and Duality, introduced the notion of residual complexes and developed a duality theory (Grothendieck duality) on the category of maps of noetherian schemes. This volume contains three articles constituting a reworking of the main parts of the corresponding chapters in Hartshorne's 1966 book in greater generality using a somewhat different approach. 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.