Joseph Lipman Variance and Duality for Cousin Complexes on Formal Schemes

Annotation

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.