An Algebraic Approach to Grothendieck's Residue Symbol

Glenn Hopkins
1983 Transactions of the American Mathematical Society  
A certain map-the "residue map"-is defined and its properties are investigated. The impetus for the definition and study of this map is a definition by A. Grothendieck of a homomorphism, the " residue symbol", which has been found applicable in several areas, including the duality theory of algebraic varieties.
doi:10.2307/1999037 fatcat:4ezfes5eqfh27o4kf57rev6n4y