Dualities and intersection multiplicities
Anders J. Frankild, Esben Bistrup Halvorsen
TL;DR
This paper develops a topological framework using Q-vector spaces modeled on subcategories of the derived category of a noetherian local ring R to analyze intersection multiplicities.
Contribution
It introduces a novel topological approach to studying intersection multiplicities via derived category subcategories and Q-vector spaces.
Findings
New topological models for intersection multiplicities
Application of derived category subcategories in multiplicity analysis
Enhanced understanding of intersection theory in commutative algebra
Abstract
Let R be a commutative, noetherian, local ring. Topological Q-vector spaces modelled on full subcategories of the derived category of R are constructed in order to study intersection multiplicities.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology