Explicit Noether-Lefschetz for arbitrary threefolds
代数几何
2007-05-23 v1
摘要
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|.
引用
@article{arxiv.math/0507362,
title = {Explicit Noether-Lefschetz for arbitrary threefolds},
author = {Angelo Felice Lopez and Catriona Maclean},
journal= {arXiv preprint arXiv:math/0507362},
year = {2007}
}
备注
30 pages, Latex