Halphen pencils on weighted Fano threefold hypersurfaces-Reference-Cited by-同舟云学术

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Halphen pencils on weighted Fano threefold hypersurfaces

Published:2009-01-01 Issue:1 Volume:7 Page:1-45
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Cheltsov Ivan,Park Jihun

Abstract

AbstractOn a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s11533-008-0056-2.pdf

Reference5 articles.

1. Classification of elliptic and fibrations birational to some - folds;Ryder;Math Sci,2006

2. Singularities of linear systems and - fold birational geometry London Lecture Note;Corti;Math Soc,2000

3. - fold hypersurfaces London Lecture Note;Corti;Math Soc,2000

4. Weighted Fano threefold hypersurfaces;Cheltsov;Reine Angew Math,2006

5. Introduction to the minimal model problem Studies in Pure Mathematics;Kawamata;Advanced,1987

Cited by 3 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. Explicit constructions of Halphen pencils of index two;Rocky Mountain Journal of Mathematics;2022-08-01

2. - Base loci of invariant linear systems;Cremona Groups and the Icosahedron;2015-08-21

3. Halphen pencils on quartic threefolds;Advances in Mathematics;2010-01

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