Derived categories and the analytic approach to general reciprocity laws. Part I
We reformulate Hecke's open problem of 1923, regarding the Fourier-analytic proof of higher reciprocity laws, as a theorem about morphisms involving stratified topological spaces. We achieve this by placing Kubota's formulations of n-Hilbert reciprocity in a new topological context, suited...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2133 |
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| Summary: | We reformulate Hecke's open problem of 1923, regarding the
Fourier-analytic proof of higher reciprocity laws, as a theorem
about morphisms involving stratified topological spaces. We
achieve this by placing Kubota's formulations of n-Hilbert
reciprocity in a new topological context, suited to the
introduction of derived categories of sheaf complexes.
Subsequently, we begin to investigate conditions on associated
sheaves and a derived category of sheaf complexes specifically
designed for an attack on Hecke's eighty-year-old challenge. |
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| ISSN: | 0161-1712 1687-0425 |