From local Torelli to global Torelli

Kefeng Liu Yang Shen

Algebraic Geometry mathscidoc:1912.43103

arXiv preprint arXiv:1512.08384, 2015.12
We introduce the notions of strong local Torelli and T-class for polarized manifolds, and prove that strong local Torelli implies global Torelli theorem on the Torelli spaces for polarized manifolds in the T-class. We discuss many new examples of projective manifolds for which such global Torelli theorem holds. As applications we prove that, in these cases, a canonical completion of the Torelli space is a bounded pseudoconvex domain in complex Euclidean space, and show that generic Torelli implies global Torelli on moduli space with certain level structure.
No keywords uploaded!
[ Download ] [ 2019-12-21 11:15:47 uploaded by Kefeng_Liu ] [ 748 downloads ] [ 0 comments ]
  title={From local Torelli to global Torelli},
  author={Kefeng Liu, and Yang Shen},
  booktitle={arXiv preprint arXiv:1512.08384},
Kefeng Liu, and Yang Shen. From local Torelli to global Torelli. 2015. In arXiv preprint arXiv:1512.08384.
Please log in for comment!
Contact us: | Copyright Reserved