Part One of this book covers the abstract foundations of Grothendieck duality theory for schemes in part with noetherian hypotheses and with some refinements for maps of finite tor-dimension. Part Two extends the theory to the context of diagrams of schemes.For such diagrams we can say then that aprojection commutes with base change. a For example, when g is ... X be a ringed space. Arbitrary (small) direct sums exist in K(X) and in D(X); and the canonical functor Q: K(X) a D(X) preserves them.

Title | : | Foundations of Grothendieck Duality for Diagrams of Schemes |

Author | : | Joseph Lipman, Mitsuyasu Hashimoto |

Publisher | : | Springer Science & Business Media - 2009-02-05 |

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