Cup-produit, Noyaux de Capitulation étales et Conjecture de Greenberg Généralisée

摘要

Let p be an odd prime number and F a number field. We give a “going up” and “going down” description of the cup product H_S~1 (F, Z_p(i)) ? H_S~1(F, z_p) → H_S~2(F, z_p(i)).