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

A. Iovita; M. Spiess

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arXiv · math/0108129

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

A. Iovita·M. Spiess

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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.

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A. Iovita, M. Spiess. 2001-08-20. Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms. https://arxiv.org/abs/math/0108129

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