On the residue of Eisenstein classes of Siegel varieties

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01358091
Contributor : Francesco Lemma <>
Submitted on : Wednesday, August 31, 2016 - 9:29:31 AM
Last modification on : Sunday, March 31, 2019 - 1:13:41 AM

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  • HAL Id : hal-01358091, version 1
  • ARXIV : 1608.08554

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

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