On a paper by Y.G.Zarhin

Details On a paper by Y.G.Zarhin On a paper by Y.G.Zarhin

2011-05-15

arxiv.org/abs/1105.4156v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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