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The Casas-Alvero conjecture

2015/11/16 by Giulia Battiston, Battiston, Giulia · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.AC #math.AG #msc:12D05 #msc:14A10 #msc:32Q35

paper · pdf · doi:10.48550/arxiv.1511.04932

The paper has been withdrawn as it contains a crucial error in its last page, I am thankful to Joseph Schicho for pointing it out to me

arxiv created 2015/11/19 · arxiv updated 2015/11/20

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.

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