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

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

2001-08-20

arxiv.org/abs/math/0108129v1

Mathematics

Number Theory

61 pages, LaTeX

Scientific paper

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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