English

On the generic degree of two-parameter period mappings

Algebraic Geometry 2024-08-23 v1 Mathematical Physics math.MP

Abstract

We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric hypersurfaces. As a consequence, we show that the generic Torelli theorem holds for these cases.

Keywords

Cite

@article{arxiv.2408.12090,
  title  = {On the generic degree of two-parameter period mappings},
  author = {Chongyao Chen and Haohua Deng},
  journal= {arXiv preprint arXiv:2408.12090},
  year   = {2024}
}

Comments

37 Pages