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Derived categories and the analytic approach to general reciprocity laws. Part I
2005
International Journal of Mathematics and Mathematical Sciences
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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 ofn-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
doi:10.1155/ijmms.2005.2133
fatcat:lqsiee3zynfwxnx52wksahcphu