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

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  • Michael C. Berg

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.

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  • Michael C. Berg, 2010. "Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-19, August.
  • Handle: RePEc:hin:jijmms:731093
    DOI: 10.1155/2010/731093
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