On the support of local and formal cohomology
Mohsen Asgharzadeh
TL;DR
This paper investigates the support of formal cohomology modules, providing explicit computations in complex cases and applying these results to determine the injective dimension of local cohomology modules based on their support.
Contribution
It introduces new methods for computing the support of formal cohomology modules and applies these to determine injective dimensions in specific cases.
Findings
Support of formal cohomology modules computed in non-trivial cases
Injective dimension of local cohomology modules expressed via support dimension
Applications demonstrate practical utility of the theoretical results
Abstract
We compute support of formal cohomology modules in a serial of non-trivial cases. Applications are given. For example, we compute injective dimension of certain local cohomology modules in terms of dimension of their's support.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models