Variance And Duality For Cousin Complexes On Formal Schemes
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Variance and Duality for Cousin Complexes on Formal Schemes
Author | : Joseph Lipman |
Publisher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821837052 |
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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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