Indecomposability of polynomials via Jacobian matrix

DOI10.1016/j.jalgebra.2010.01.007zbMath1202.13014OpenAlexW2062228305MaRDI QIDQ984987

Salah Najib, Guillaume Chèze

Publication date: 20 July 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.01.007

zbMATH Keywords

Noether's theoremBertini's theoremNewton's polygonindecomposable polynomialsOstrowski's theorem

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials, factorization in commutative rings (13P05)

Related Items (2)

Specializations of indecomposable polynomials ⋮ A recombination algorithm for the decomposition of multivariate rational functions

Cites Work

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• Zero testing of algebraic functions
• The total reducibility order of a polynomial in two variables
• Functional decomposition of polynomials: the tame case
• Le formalisme du résultant. (The formalism of resultant)
• Reducibility of polynomials \(f(x,y)\) modulo \(p\)
• Irreducibility of polynomials modulo \(p\) via Newton polytopes.
• Effective Noether irreducibility forms and applications
• Lifting and recombination techniques for absolute factorization
• Computation of unirational fields
• Improved dense multivariate polynomial factorization algorithms
• On the invariance of chains of fields
• Unirational fields of transcendence degree one and functional decomposition
• Indecomposable polynomials and their spectrum
• Reduzibilität ebener Kurven.
• Sur les polynomes f(X,Y) tels que K[f est integralement ferme dans K[X,Y]]
• Factoring multivariate polynomials via partial differential equations

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