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.

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Reciprocity Laws for Generalized Heegner Classes

  • Marco Adamo Seveso

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.