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

Abstract EN

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.