Geodesic
ON THE RESIDUE OF EISENSTEIN CLASSES OF SIEGEL VARIETIES
Glasgow mathematical journal, Tome 60 (2018) no. 3, pp. 539-553

Voir la notice de l'article provenant de la source Cambridge University Press

Eisenstein classes of Siegel varieties are motivic cohomology classes defined as pull-backs by torsion sections of the polylogarithm prosheaf on the universal abelian scheme. By reduction to the Hilbert–Blumenthal case, we prove that the Betti realization of these classes on Siegel varieties of arbitrary genus have non-trivial residue on zero-dimensional strata of the Baily–Borel–Satake compactification. A direct corollary is the non-vanishing of a higher regulator map. 
LEMMA, FRANCESCO. ON THE RESIDUE OF EISENSTEIN CLASSES OF SIEGEL VARIETIES. Glasgow mathematical journal, Tome 60 (2018) no. 3, pp. 539-553. doi: 10.1017/S0017089517000271
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