Ideal class group annihilators

摘要

The aim of this article is to propose generalizations of Stickelberger's theorem for higher dimensions. Using these results, we study annihilators for some cusp forms of weight 2. We address certain correspon-dences, given by sums of Hecke correspondences and defined over Drinfeld modular varieties. This article is motivated by the works of Anderson and Coleman [An1], [C].