On the residue of Eisenstein classes of Siegel varieties - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

On the residue of Eisenstein classes of Siegel varieties

Résumé

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 compactification. A direct corollary is the non-vanishing of a higher regulator map.

Dates et versions

hal-01358091 , version 1 (31-08-2016)

Identifiants

Citer

Francesco Lemma. On the residue of Eisenstein classes of Siegel varieties. 2016. ⟨hal-01358091⟩
62 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More