Explicit Noether-Lefschetz for arbitrary threefolds

• Autores: Angelo Felice Lopez, Catriona Maclean
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 2, 2007, págs. 323-342
• Idioma: inglés
• DOI: 10.1017/s0305004107000126
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• Resumen

  • 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|.