English

Cayley-Bacharach Formulas

Algebraic Geometry 2014-12-25 v2

Abstract

The Cayley-Bacharach Theorem states that all cubic curves through eight given points in the plane also pass through a unique ninth point. We write that point as an explicit rational function in the other eight.

Keywords

Cite

@article{arxiv.1405.6438,
  title  = {Cayley-Bacharach Formulas},
  author = {Qingchun Ren and Jürgen Richter-Gebert and Bernd Sturmfels},
  journal= {arXiv preprint arXiv:1405.6438},
  year   = {2014}
}

Comments

13 pages, 4 figures

R2 v1 2026-06-22T04:23:00.472Z