Localization of sheaves and cousin complexes
نویسندگان
چکیده
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...
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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...
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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...
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متن کاملComparison of frequency of cousin and non-cousin marriage among parents of disabled and normal children
Cousin marriage appeared to have a significant role in the birth of disabled children. This is a comparative study on the frequency of cousin and non-cousin marriage among the parents of disabled children and parents of normal children in Kermanshah. In this Ex Post Facto research, employing simple random sampling, 250 parents of disabled children were selected, and the same sample size for par...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1973
ISSN: 0001-5962
DOI: 10.1007/bf02392035