Topology and factorization of polynomials

Authors

  • Hani Shaker

DOI:

https://doi.org/10.7146/math.scand.a-15084

Abstract

For any polynomial PC[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.

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Published

2009-03-01

How to Cite

Shaker, H. (2009). Topology and factorization of polynomials. MATHEMATICA SCANDINAVICA, 104(1), 51–59. https://doi.org/10.7146/math.scand.a-15084

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Section

Articles