paper

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

arXiv:math/0108129

Abstract

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.

61 pages, LaTeX

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