Explicit Noether-Lefschetz for arbitrary threefolds

Details Explicit Noether-Lefschetz for arbitrary threefolds Explicit Noether-Lefschetz for arbitrary threefolds

2005-07-18

arxiv.org/abs/math/0507362v1

Mathematics

Algebraic Geometry

30 pages, Latex

Scientific paper

We study the Noether-Lefschetz locus of a very ample line bundle L on an
arbitrary smooth threefold Y. Building on results of Green, Voisin and
Otwinowska, we give explicit bounds, depending only on the Castelnuovo-Mumford
regularity properties of L, on the codimension of the components of the
Noether-Lefschetz locus of |L|.

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