Euler systems for Hilbert modular surfaces
Number Theory
2018-12-11 v4
Abstract
We construct an Euler system -- a compatible family of global cohomology classes -- for the Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture of Bloch and Kato on injectivity of regulator maps holds, this Euler system is non-trivial, and we deduce bounds towards the Iwasawa main conjecture for these Galois representations.
Cite
@article{arxiv.1607.07813,
title = {Euler systems for Hilbert modular surfaces},
author = {Antonio Lei and David Loeffler and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:1607.07813},
year = {2018}
}
Comments
Final version, to appear in "Forum of Mathematics, Sigma"