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

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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 $\Bbb P^3$. 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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