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Variance and Duality for Cousin Complexes on Formal Schemes

Download or Read eBook Variance and Duality for Cousin Complexes on Formal Schemes PDF written by Joseph Lipman and published by American Mathematical Soc.. This book was released on 2005 with total page 290 pages. Available in PDF, EPUB and Kindle.
Variance and Duality for Cousin Complexes on Formal Schemes
Author :
Publisher : American Mathematical Soc.
Total Pages : 290
Release :
ISBN-10 : 9780821837054
ISBN-13 : 0821837052
Rating : 4/5 (54 Downloads)

Book Synopsis Variance and Duality for Cousin Complexes on Formal Schemes by : Joseph Lipman

Book excerpt: 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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