Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III
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...
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| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/731093 |
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| author | Michael C. Berg |
| author_facet | Michael C. Berg |
| author_sort | Michael C. Berg |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-371b83d91cde4637bbd31d40adb10ea4 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-371b83d91cde4637bbd31d40adb10ea42025-08-20T02:07:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/731093731093Derived Categories and the Analytic Approach to General Reciprocity Laws: Part IIIMichael C. Berg0Department of Mathematics, Loyola Marymount University, CA 90045, USABuilding 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.http://dx.doi.org/10.1155/2010/731093 |
| spellingShingle | Michael C. Berg Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III International Journal of Mathematics and Mathematical Sciences |
| title | Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III |
| title_full | Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III |
| title_fullStr | Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III |
| title_full_unstemmed | Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III |
| title_short | Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III |
| title_sort | derived categories and the analytic approach to general reciprocity laws part iii |
| url | http://dx.doi.org/10.1155/2010/731093 |
| work_keys_str_mv | AT michaelcberg derivedcategoriesandtheanalyticapproachtogeneralreciprocitylawspartiii |