Resumen de Explicit Noether-Lefschetz for arbitrary threefolds

Angelo Felice Lopez, Catriona Maclean

• 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|.