Geodesic
Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I
Algebra i analiz, Tome 28 (2016) no. 6, pp. 147-188 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Newton–Puiseux algorithm for constructing roots of polynomials in the field of fractional power series is generalized to the case of a ground field of nonzero characteristic.
Keywords: Newton broken lines, nonzero characteristic of the ground field, generalization of the Newton-Puiseux expansions. 
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A. L. Chistov. Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I. Algebra i analiz, Tome 28 (2016) no. 6, pp. 147-188. http://geodesic.mathdoc.fr/item/AA_2016_28_6_a6/

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[2] Chistov A. L., “Effective construction of an algebraic variety nonsingular in codimension one over a ground field of zero characteristic”, Zap. nauch. semin. POMI, 387, 2011, 167–188 | MR

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