Topology and Factorization of Polynomials
| dc.creator | Shaker, Hani | |
| dc.date | 2007-04-25 | |
| dc.date | 2008-04-02 | |
| dc.date.accessioned | 2026-07-07T09:29:30Z | |
| dc.date.available | 2026-07-07T09:29:30Z | |
| dc.description | For any polynomial $P \in \mathbb{C}[X_1,X_2,...,X_n]$, we describe a $\mathbb{C}$-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 $n=2$. | |
| dc.description | Accepted in Mathematica Scandinavica. 8 pages | |
| dc.identifier | https://arxiv.org/abs/0704.3363 | |
| dc.identifier | http://arxiv.org/abs/0704.3363 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157808 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 12D05 (Primary) 14F40,14J70(Secondary) | |
| dc.title | Topology and Factorization of Polynomials | |
| dc.type | text |