Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I

DOI10.1090/spmj/1476zbMath1383.14016OpenAlexW2761078425MaRDI QIDQ5369340

Alexander L. Chistov

Publication date: 17 October 2017

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1476

zbMATH Keywords

generalization of the Newton-Puiseux expansionsNewton broken linesnonzero characteristic of the ground field

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of higher-dimensional varieties (14Q15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (2)

On the estimation of coefficients of irreducible factors of polynomials over a field of formal power series in nonzero characteristic ⋮ Efficient estimation of roots from the field of fractional power series of a given polynomial in nonzero characteristic

Cites Work

• Algorithm of polynomial complexity for factoring polynomials and finding the components of varieties in subexponential time
• Effective construction of an algebraic variety nonsingular in codimension one over a ground field of zero characteristic
• Unnamed Item

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