Special cohomology classes for modular Galois representations |
| |
Authors: | Benjamin Howard |
| |
Institution: | Department of Mathematics, Harvard University, 1 Oxford St., Cambridge, MA 02138, USA |
| |
Abstract: | Building on ideas of Vatsal Uniform distribution of Heegner points, Invent. Math. 148(1) (2002) 1-46], Cornut Mazur's conjecture on higher Heegner points, Invent. Math. 148(3) (2002) 495-523] proved a conjecture of Mazur asserting the generic nonvanishing of Heegner points on an elliptic curve E/Q as one ascends the anticyclotomic Zp-extension of a quadratic imaginary extension K/Q. In the present article, Cornut's result is extended by replacing the elliptic curve E with the Galois cohomology of Deligne's two-dimensional ?-adic representation attached to a modular form of weight 2k>2, and replacing the family of Heegner points with an analogous family of special cohomology classes. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|