English

The Casas-Alvero conjecture

Algebraic Geometry 2015-11-20 v2 Commutative Algebra

Abstract

We present a proof of the Casas-Alvero conjecture, stating that if a complex polynomial has a root in common with each of its derivatives it must be a multiple of the power of some monomial.

Keywords

Cite

@article{arxiv.1511.04932,
  title  = {The Casas-Alvero conjecture},
  author = {Giulia Battiston},
  journal= {arXiv preprint arXiv:1511.04932},
  year   = {2015}
}

Comments

The paper has been withdrawn as it contains a crucial error in its last page, I am thankful to Joseph Schicho for pointing it out to me

R2 v1 2026-06-22T11:46:10.945Z