Components of maximal dimension in the Noether-Lefschetz locus for Beilinson-Hodge cycles on open surfaces

Abstract

The main subject of study in this paper is the Noether-Lefschetz locus for Beilinson-Hodge cycles on the complement of the union of hyperplane sections in a surface in P3. We give an analogue of the result by M.Green and C.Voisin on the maximal components in the Noether-Lefschetz locus.

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