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

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arxiv math/0304088 v1 pith:GEZSJ2MQ submitted 2003-04-07 math.AG

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

classification math.AG
keywords noether-lefschetzdimensionestimatehodgelocusanaloguebeilinsonbeilinson-hodge
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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.

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