Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III

Michael C. Berg

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-19

Abstract:

Building on the scaffolding constructed in the first two articles in this series, we now proceed to the geometric phase of our sheaf (-complex) theoretic quasidualization of Kubota's formalism for n -Hilbert reciprocity. Employing recent work by Bridgeland on stability conditions, we extend our yoga of t -structures situated above diagrams of specifically designed derived categories to arrangements of metric spaces or complex manifolds. This prepares the way for proving n -Hilbert reciprocity by means of singularity analysis.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:731093

DOI: 10.1155/2010/731093

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