Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms

By A. Iovita, Michael Spiess. 2001

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In this paper we prove a Gross-Zagier type formula for the anticyclotomic p-adic L-function of an elliptic modular form f of higher weight and of multiplicative type at p. For such f we also decribe explicitely the local Galois representation attached to it at p and compare the Fontaine-Mazur and Teitelbaum L-invariants.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/37bb381a404a321f10766544433ecd12c7debc7c