Geodesic
$\mathcal L$-invariant for Siegel-Hilbert forms
Documenta mathematica, Tome 20 (2015), pp. 1227-1253
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We prove a formula for the Greenberg–Benois L-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 L-invariant for a Galois representation V of a number field F=Q; we also check that it is compatible with Benois' definition for IndFQ​(V).
DOI : 10.4171/dm/518
Classification : 11F46, 11F80, 11R23, 11S25
Mots-clés : Iwasawa theory, p-adic L-functions, L-invariants, p-adic families of automorphic forms 
@article{10_4171_dm_518,
     author = {Giovanni Rosso},
     title = {$\mathcal L$-invariant for {Siegel-Hilbert} forms},
     journal = {Documenta mathematica},
     pages = {1227--1253},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/518},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/518/}
}
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Giovanni Rosso. $\mathcal L$-invariant for Siegel-Hilbert forms. Documenta mathematica, Tome 20 (2015), pp. 1227-1253. doi: 10.4171/dm/518

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