THE LICHTENBAUM-HARTSHORNE THEOREM FOR GENERALIZED LOCAL COHOMOLOGY AND CONNECTEDNESS

DOI10.1081/AGB-120005813zbMath1054.14006MaRDI QIDQ4781535

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Publication date: 2002

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

associated prime ideals

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Topological properties in algebraic geometry (14F45)

Related Items

On the stable under specialization sets and cofiniteness of local cohomology ⋮ The derived category analogue of the Hartshorne-Lichtenbaum vanishing theorem ⋮ Attached primes of local cohomology modules of complexes ⋮ Lower bounds of certain general local cohomology modules ⋮ A generalization of Hartshorne's connectedness theorem ⋮ Unnamed Item ⋮ Local cohomology based on a nonclosed support defined by a pair of ideals

Cites Work

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• Local cohomology and the connectedness dimension in algebraic varieties
• Some theorems about formal functions
• Algebraisation of some formal vector bundles
• Explicit computations around the Lichtenbaum-Hartshorne vanishing theorem
• Etale cohomological dimension and the topology of algebraic varieties
• A generalization of Lichtenbaum's theorem on the cohomological dimension of algebraic varieties
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the Artinian Property of Certain General Local Cohomology Modules
• A common generalization of local cohomology theories
• A contribution to the theory of formal meromorphic functions

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