THE QUANTUM LEFSCHETZ HYPERPLANE PRINCIPLE CAN FAIL FOR POSITIVE ORBIFOLD HYPERSURFACES

被引：0

作者：

Coates, Tom ^{[1
]}

Gholampour, Amin ^{[2
]}

Iritani, Hiroshi ^{[3
]}

Jiang, Yunfeng ^{[1
]}

Johnson, Paul ^{[4
]}

Manolache, Cristina ^{[5
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[3] Kyoto Univ, Dept Math, Grad Sch Sci, Sakyo Ku, Kyoto 6068502, Japan

[4] Columbia Univ, Dept Math, New York, NY 10027 USA

[5] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

来源：

MATHEMATICAL RESEARCH LETTERS | 2012年 / 19卷 / 05期

基金：

加拿大自然科学与工程研究理事会; 欧洲研究理事会; 美国国家科学基金会;

关键词：

Gromov-Witten invariants; orbifolds; quantum cohomology; hypersurfaces; complete intersections; Quantum Lefschetz Hyperplane Theorem; GROMOV-WITTEN INVARIANTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Quantum Lefschetz Hyperplane Principle can fail for certain orbifold hypersurfaces and complete intersections. It can fail even for orbifold hypersurfaces defined by a section of an ample line bundle.

引用

页码：997 / 1005

页数：9

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