On vanishing of fundamental forms of algebraic varieties

Lawrence Ein; Wenbo Niu

On vanishing of fundamental forms of algebraic varieties

Algebraic Geometry 2023-04-18 v1

Authors: Lawrence Ein , Wenbo Niu

Abstract

We study fundamental forms of algebraic varieties using the sheaves of principal parts of line bundles and establish a vanishing theorem for any order fundamental forms. We also give connection of fundamental forms with the higher order Gauss map and higher order tangent varieties.

Keywords

algebraic varieties fundamental forms sheaves of principal parts vanishing theorem gauss map tangent varieties line bundles

Cite

@article{arxiv.2304.08430,
  title  = {On vanishing of fundamental forms of algebraic varieties},
  author = {Lawrence Ein and Wenbo Niu},
  journal= {arXiv preprint arXiv:2304.08430},
  year   = {2023}
}

Comments

21 pages, comments welcome

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