Characterization on projective submanifolds of codimensions 2 and 3
Differential Geometry
2020-07-21 v1 Algebraic Geometry
Complex Variables
Abstract
In this article we give a necessary and sufficient condition to characterize projective submanifolds in with codimensions 2 and 3. The conditions involve the Chern classes of the manifold and a very ample line bundle on the manifold. This generalizes our earlier characterization for hypersurfaces. The higher codimensional cases are proposed as a general question.
Cite
@article{arxiv.2007.09678,
title = {Characterization on projective submanifolds of codimensions 2 and 3},
author = {Ping Li and Fangyang Zheng},
journal= {arXiv preprint arXiv:2007.09678},
year = {2020}
}