English

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

Number Theory 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0108129,
  title  = {Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms},
  author = {A. Iovita and M. Spiess},
  journal= {arXiv preprint arXiv:math/0108129},
  year   = {2007}
}

Comments

61 pages, LaTeX