منابع مشابه
Duality for Cousin Complexes
We relate the variance theory for Cousin complexes − developed by Lipman, Nayak and the author to Grothendieck duality for Cousin complexes. Specifically for a Cousin complex F on (Y, ∆)—with ∆ a codimension function on a formal scheme Y (noetherian, universally catenary)—and a pseudo-finite type map f : (X, ∆) → (Y, ∆) of such pairs of schemes with codimension functions, we show there is a der...
متن کاملResidues and Duality for Cousin Complexes
We construct a canonical pseudofunctor ( ) on the category of finite-type maps of (say) connected noetherian universally catenary finite-dimensional separated schemes, taking values in the category of Cousin complexes. This pseudofunctor is a concrete approximation to the restriction of the Grothendieck Duality pseudofunctor( ) to the full subcategory of the derived category having Cohen-Macaul...
متن کاملApplications of Duality Theory to Cousin Complexes
We use the anti-equivalence between Cohen-Macaulay complexes and coherent sheaves on formal schemes to shed light on some older results and prove new results. We bring out the relations between a coherent sheaf M satisfying an S2 condition and the lowest cohomology N of its “dual” complex. We show that if a scheme has a Gorenstein complex satisfying certain coherence conditions, then in a finit...
متن کاملContinued Fractions and Generalized Patterns
Babson and Steingrimsson (2000, Séminaire Lotharingien de Combinatoire, B44b, 18) introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation. Let fτ ;r (n) be the number of 1-3-2-avoiding permutations on n letters that contain exactly r occurrences of τ , where τ is a generalized pattern on k letters. Let Fτ ...
متن کاملPseudofunctorial behavior of Cousin complexes on formal schemes
On a suitable category of formal schemes equipped with codimension functions we construct a canonical pseudofunctor (−)♯ taking values in the corresponding categories of Cousin complexes. Cousin complexes on such a formal scheme X functorially represent derived-category objects F by the local cohomologies H codim(x) x F (x ∈ X) together with “residue maps” from the cohomology at x to that at ea...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1985
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500005772