Reciprocity Laws for Generalized Heegner Classes
摘要
We exemplify in the toy case of generalized Heegner cycles how the methods of [10] yield p-adic interpolation of generalized Heegner classes and deduce a reciprocity law relating the resulting big class to the p-adic L-function constructed in [5]. We also discuss exceptional zero phenomena of these classes and how they can be improved along suitable lines.