Local Cohomology and Matlis duality
Michael Hellus
TL;DR
This paper explores the properties of Matlis duals of local cohomology modules, focusing on their behavior in contexts like complete intersections, and provides new insights into their structure and duality relationships.
Contribution
It offers new results on Matlis duals of local cohomology modules, particularly in the setting of complete intersections, expanding understanding of their duality properties.
Findings
New characterization of Matlis duals in complete intersections
Insights into duality relationships of local cohomology modules
Extensions of existing duality theories in local cohomology
Abstract
Matlis duals of local cohomology modules are investigated with respect to many different topics (see section 0 - Introduction). One of these topics are complete intersections - see Corollary 1.1.4.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology