Characterization on projective submanifolds of codimensions 2 and 3

Ping Li; Fangyang Zheng

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arXiv · 2007.09678

Characterization on projective submanifolds of codimensions 2 and 3

Ping Li·Fangyang Zheng

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Abstract

In this article we give a necessary and sufficient condition to characterize projective submanifolds in ${\mathbb P}^N$ 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.

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BibTeX RIS

Ping Li, Fangyang Zheng. 2020-07-19. Characterization on projective submanifolds of codimensions 2 and 3. https://arxiv.org/abs/2007.09678

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