期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.2133
出版社：Hindawi Publishing Corporation
摘要：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.
