English

On quartics with lines of the second kind

Algebraic Geometry 2017-05-23 v1 Commutative Algebra

Abstract

We study the geometry of quartic surfaces in IP^3 that contain a line of the second kind over algebraically closed fields of characteristic different from 2,3. In particular, we correct Segre's claims made for the complex case in 1943.

Keywords

Cite

@article{arxiv.1303.1304,
  title  = {On quartics with lines of the second kind},
  author = {Slawomir Rams and Matthias Schuett},
  journal= {arXiv preprint arXiv:1303.1304},
  year   = {2017}
}

Comments

22 pages

R2 v1 2026-06-21T23:37:27.090Z