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Estimate of dimension of Noether-Lefschetz locus for Beilinson-Hodge cycles on open complete intersections

arXiv:math/0304088

Abstract

We study an analogue of the Noether-Lefschetz theorem in the context of Beilinson's Hodge conjecture. We estimate the dimension of the Noether-Lefschetz locus by the infinitesimal methods in Hodge theory.