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Chern classes of Gauß-Manin bundles of weight 1 vanish

Hélène Esnault·Eckart Viehweg
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Abstract

We show that the Chern character of a variation of polarized Hodge structures of weight one with nilpotent residues at $\infty$ dies up to torsion in the Chow ring, except in codimension 0.

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Hélène Esnault, Eckart Viehweg. 2002-01-07. Chern classes of Gauß-Manin bundles of weight 1 vanish. https://arxiv.org/abs/math/0201038

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