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. 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. Additionally, the authors' 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.Consider the following cartesian diagram where the previously undefined maps are determined by the cartesian condition. ... Ap31 a 24Voss FG `s 11 * __ (33 g4 AHa#39;a 204G a- Aao Ho 4G aa- Aosaa#39;s FG 3 A5 ! ... a#39;P1 = Pxth (P5 = PA, as 91 = 9.
|Title||:||Variance and Duality for Cousin Complexes on Formal Schemes|
|Author||:||Joseph Lipman, Suresh Nayak, Pramathanath Sastry|
|Publisher||:||American Mathematical Soc. - 2005|