Geodesic
Norm-Compatible Systems of Galois Cohomology Classes for $\mathbf{GSp}_6$
Documenta mathematica, Tome 25 (2020), pp. 911-954
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We construct global cohomology classes in the middle degree plus one cohomology group of the Shimura variety of the symplectic group GSp6​ compatible when one varies the level at p. These classes are expected constituents of an Euler system for the Galois representations appearing in the middle degree étale cohomology groups of the aforementioned variety. As an application, we show how these classes provide elements in the Iwasawa cohomology of these representations and, by applying Perrin-Riou's machinery, p-adic L-functions associated to them.
DOI : 10.4171/dm/767
Classification : 11F46, 11G18, 11G40
Mots-clés : Shimura varieties, Euler systems, p-adic L-functions 
@article{10_4171_dm_767,
     author = {Antonio Cauchi and Joaqu{\'\i}n Rodrigues Jacinto},
     title = {Norm-Compatible {Systems} of {Galois} {Cohomology} {Classes} for $\mathbf{GSp}_6$},
     journal = {Documenta mathematica},
     pages = {911--954},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/767},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/767/}
}
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Antonio Cauchi; Joaquín Rodrigues Jacinto. Norm-Compatible Systems of Galois Cohomology Classes for $\mathbf{GSp}_6$. Documenta mathematica, Tome 25 (2020), pp. 911-954. doi: 10.4171/dm/767

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