Explicit Noether–Lefschetz for arbitrary threefolds-Reference-Cited by-同舟云学术

Explicit Noether–Lefschetz for arbitrary threefolds

Published:2007-09 Issue:2 Volume:143 Page:323-342
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

LOPEZ ANGELO FELICE,MACLEAN CATRIONA

Abstract

AbstractWe 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|.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference21 articles.

1. On the Periods of Certain Rational Integrals: I

2. Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension

3. Algebraic homology classes on algebraic varieties;Moishezon;Izv. Akad. Nauk SSSR,1967

4. Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Transcendental splitting fields of division algebras;Contemporary Mathematics;2024

2. Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds;International Mathematics Research Notices;2020-02-05

3. The Noether–Lefschetz locus of surfaces in toric threefolds;Communications in Contemporary Mathematics;2018-07-26

4. Developments in Noether-Lefschetz theory;Contemporary Mathematics;2014

5. Enumeration of surfaces containing a curve of low degree;Journal of Pure and Applied Algebra;2013-08