Topology and factorization of polynomials

• Autores: Hani Shaker
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 104, Nº 1, 2009, págs. 51-59
• Idioma: inglés
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• Resumen

  • For any polynomial P∈C[X1,X2,…,Xn], we describe a C-vector space F(P) of solutions of a linear system of equations coming from some algebraic partial differential equations such that the dimension of F(P) is the number of irreducible factors of P. Moreover, the knowledge of F(P) gives a complete factorization of the polynomial P by taking gcd's. This generalizes previous results by Ruppert and Gao in the case n=2.