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Article

Sun, Shu-Hao
On the equivalence of algebraic and geometric local cohomology. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 599-607
MSC: 13B30, 13C10, 13D45 | MR 1364500 | Zbl 0835.13003
Keywords:
local cohomology; commutative ring; quasi-flabby; sheaf; localization
Summary:
In this paper, we will present several necessary and sufficient conditions on a commutative ring such that the algebraic and geometric local cohomologies are equivalent.
References:
[1] Hartshorne R.: Algebraic Geometry. GTM 52, 1977. MR 0463157 | Zbl 0531.14001
[2] Grothendieck A.: Local Cohomology. Lecture Notes in Mathematics 41, Springer-Verlag, 1967. MR 0224620 | Zbl 1079.14001
[3] Call F.W.: Torsion theoretic algebraic geometry. Queen's Papers in Pure and Applied Mathematics 82 (1989). MR 1005779 | Zbl 0714.13011
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