Some norm relations of the Eisenstein classes of GSp(4)

Details Some norm relations of the Eisenstein classes of GSp(4) Some norm relations of the Eisenstein classes of GSp(4)

2009-04-21

arxiv.org/abs/0904.3281v1

Mathematics

Number Theory

Scientific paper

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.

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