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.
| Original language | American English |
|---|---|
| Pages (from-to) | 1-19 |
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 2010 |
| State | Published - May 12 2010 |
Disciplines
- Geometry and Topology
- Mathematics