English

A singular Darboux type theorem and non-integrable projective distributions of degree one

Algebraic Geometry 2018-08-28 v2 Complex Variables Differential Geometry

Abstract

We prove a singular Darboux type theorem for homogeneous polynomial closed 22-forms of degree one on Cn\mathbb{C}^n. As application, we classify non-integrable codimension one distributions, of degree one, and arbitrary classes on projective spaces.

Keywords

Cite

@article{arxiv.1804.01140,
  title  = {A singular Darboux type theorem and non-integrable projective distributions of degree one},
  author = {Maurício Corrêa and Vinícius Soares dos Reis},
  journal= {arXiv preprint arXiv:1804.01140},
  year   = {2018}
}

Comments

To Omegar Calvo-Andrade on the occasion of his 60th birthday; Major changes following suggestions of the referee