English

Geometry of stable ruled surface over an elliptic curve

Complex Variables 2019-03-04 v1 Algebraic Geometry Differential Geometry

Abstract

We consider the stable ruled surface S1S_1 over an elliptic curve. There is a unique foliation on S1S_1 transverse to the fibration. The minimal self-intersection sections also define a 2-web. We prove that the 4-web defined by the fibration, the foliation and the 2-web is locally parallelizable.

Keywords

Cite

@article{arxiv.1903.00373,
  title  = {Geometry of stable ruled surface over an elliptic curve},
  author = {Adjaratou Arame Diaw},
  journal= {arXiv preprint arXiv:1903.00373},
  year   = {2019}
}