Geodesic
$\mathcal L$-invariant for Siegel-Hilbert forms
Documenta mathematica, Tome 20 (2015), pp. 1227-1253.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove a formula for the Greenberg--Benois $\Ll$-invariant of the spin, standard and adjoint Galois representations associated with Siegel--Hilbert modular forms. In order to simplify the calculation, we give a new definition of the $\Ll$-invariant for a Galois representation $V$ of a number field $F\neq \Q$; we also check that it is compatible with Benois' definition for $Ind_{F}^{\Q}(V)$.
Classification : 11R23, 11F80, 11F46, 11S25
Keywords: Iwasawa theory, L-invariants, p-adic L-functions, p-adic families of automorphic forms 
@article{DOCMA_2015__20__a6,
     author = {Rosso, Giovanni},
     title = {$\mathcal L$-invariant for {Siegel-Hilbert} forms},
     journal = {Documenta mathematica},
     pages = {1227--1253},
     publisher = {mathdoc},
     volume = {20},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a6/}
}
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Rosso, Giovanni. $\mathcal L$-invariant for Siegel-Hilbert forms. Documenta mathematica, Tome 20 (2015), pp. 1227-1253. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a6/