English

On a paper by Y.G.Zarhin

Algebraic Geometry 2011-05-23 v1 Dynamical Systems

Abstract

Zarhin showed that a matrix constructed from a polynomial with distinct roots has co-rank one. Some striking properties of this matrix are used to give a direct proof of his result. An account is given of calculations carried out to try to understand the analogous matrix for a polynomial with multiple roots and a conjecture about its rank is stated.

Keywords

Cite

@article{arxiv.1105.4156,
  title  = {On a paper by Y.G.Zarhin},
  author = {Elmer Rees},
  journal= {arXiv preprint arXiv:1105.4156},
  year   = {2011}
}

Comments

3 pages; Comments on: Polynomials in one variable and ranks of certain tangent maps, arXiv:1010.0282

R2 v1 2026-06-21T18:10:18.606Z