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On a paper by Y.G.Zarhin (1105.4156v1)

Published 15 May 2011 in math.AG and math.DS

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.

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