Period integrals of CY and general type complete intersections

@article{Lian2011PeriodIO,
  title={Period integrals of CY and general type complete intersections},
  author={Bong H. Lian and Shing-Tung Yau},
  journal={Inventiones mathematicae},
  year={2011},
  volume={191},
  pages={35-89}
}
  • B. Lian, S. Yau
  • Published 24 May 2011
  • Mathematics
  • Inventiones mathematicae
We develop a global Poincaré residue formula to study period integrals of families of complex manifolds. For any compact complex manifold X equipped with a linear system V∗ of generically smooth CY hypersurfaces, the formula expresses period integrals in terms of a canonical global meromorphic top form on X. Two important ingredients of this construction are the notion of a CY principal bundle, and a classification of such rank one bundles. We also generalize the construction to CY and general… 
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