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.
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页码：997 / 1005
页数：9
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