Explicit Noether-Lefschetz for arbitrary threefolds

被引：5
|
作者：
Lopez, Angelo Felice
Maclean, Catriona
机构：
[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
[2] Univ Grenoble 1, UFR Math, CNRS, UMR 5582, F-38402 St Martin Dheres, France
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2007年 / 143卷
关键词：
D O I：
10.1017/S0305004107000126
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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|.
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页码：323 / 342
页数：20
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