Foundations of Grothendieck duality for diagrams of schemes / Joseph Lipman and Mitsuyasu Hashimoto
Material type:
TextPublication details: Berlin : Springer-Verlag, 2009Description: x, 478 p. 24 cmISBN: - 9783540854197
- 515.7 LIP
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Book
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Calcutta | 515.7 LIP (Browse shelf(Opens below)) | Available | IIMC-127937 |
The first part is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image. Included are enhancements, for quasi-compact quasi-separated schemes, of classical results such as the projection and Kttnneth isomorphisms. In the second part, the theory is extended to the context of diagrams of schemes. This includes, as a special case, an equivariant theory for schemes with group actions.
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