Chern classes of Gauß-Manin bundles of weight 1 vanish

Mathematics – Algebraic Geometry

Scientific paper

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19 pages

Scientific paper

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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