The Casas-Alvero conjecture
arXiv:1511.04932
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.
The paper has been withdrawn as it contains a crucial error in its last page, I am thankful to Joseph Schicho for pointing it out to me