The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces

Amin Gholampour; Cristina Manolache; Hiroshi Iritani; Paul Johnson; Tom Coates; Yunfeng Jiang

arxiv: 1202.2754 · v1 · pith:ZGRASK3Ynew · submitted 2012-02-13 · 🧮 math.AG

The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces

Tom Coates , Amin Gholampour , Hiroshi Iritani , Yunfeng Jiang , Paul Johnson , Cristina Manolache This is my paper

classification 🧮 math.AG

keywords failhypersurfacesorbifoldhyperplanelefschetzprinciplequantumample

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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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The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces

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