Some norm relations of the Eisenstein classes of GSp(4)
Number Theory
2014-05-19 v2
Abstract
We construct a norm compatible system of Galois cohomology classes in the cyclotomic extension of the field of rationnals giving rise (conjecturally) to the degree four p-adic L-function of the symplectic group GSp(4). These classes are defined as cup products of torsion sections of the elliptic polylogarithm pro-sheaf. We rely on the norm compatibility of the elliptic polylogarithm and on some weight computations in the cohomology of Siegel threefolds.
Keywords
Cite
@article{arxiv.0904.3281,
title = {Some norm relations of the Eisenstein classes of GSp(4)},
author = {Francesco Lemma},
journal= {arXiv preprint arXiv:0904.3281},
year = {2014}
}
Comments
The integrality statement is false. See the publication "A norm compatible system of Galois cohomology classes for GSp(4)" of the author for a correct statement and proof