English

Star configuration points and generic plane curves

Algebraic Geometry 2010-01-26 v1 Commutative Algebra

Abstract

Consider l lines in P^2 such that no three lines meet in a point. Let X(l) denote all points of intersections of these l lines. We describe all pairs (d,l) such that generic degree d curve in P^2 contains a X(l).

Keywords

Cite

@article{arxiv.1001.4504,
  title  = {Star configuration points and generic plane curves},
  author = {Enrico Carlini and Adam Van Tuyl},
  journal= {arXiv preprint arXiv:1001.4504},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T14:39:12.251Z