The Quantum Lefschetz Hyperplane Principle Can Fail for Positive   Orbifold Hypersurfaces
  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. 
Tom Coates, Amin Gholampour, Hiroshi Iritani, Yunfeng Jiang, Paul   Johnson, Cristina Manolache
math.AG