Chern classes of Gauß-Manin bundles of weight 1 vanish
Hélène Esnault, Eckart Viehweg
math.AGarXiv:math/0201038
Abstract
We show that the Chern character of a variation of polarized Hodge structures of weight one with nilpotent residues at ∞ dies up to torsion in the Chow ring, except in codimension 0.
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