But Hn(X; Z)xQ and E x t (Q, 2 ) is isomorphic with countable product of groups Q which implies Ext (Q, Z)xQNa (where K O is the smallest ii1finit.e cardinal number, see [2], IX), and therefore (2) Substituting (2) into ( l ) , we obtain: H"(X; 2) z E x t (Hom (H"-'(X; Z), 2 ) +QNo, 2) Z E x t (Ho
β¦ LIBER β¦
A Remark on Local Cohomology
β Scribed by Alan Adolphson; Steven Sperber
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 165 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We construct a new Koszul complex that computes local cohomology for a quasi-coherent module on an affine scheme with supports in the closed subset defined by a finitely generated ideal.
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