Factoring bivariate polynomials using adjoints

Details Factoring bivariate polynomials using adjoints Factoring bivariate polynomials using adjoints

2012-01-27

arxiv.org/abs/1201.5787v3

Mathematics

Algebraic Geometry

22 pages, 2 figures. Extended version of arXiv.1201.5787

Scientific paper

One relates factorization of bivariate polynomials to singularities of projective plane curves. One proves that adjoint polynomials permit to solve the recombinations of the modular factors induced by the absolute and rational factorizations, and so without using Hensel's lifting. One establishes in such a way the relations between the algorithm of Duval-Ragot (locally constant functions) and of Ch\`eze-Lecerf (lifting and recombinations), and one shows that a fast computation of adjoint polynomials leads to a fast factorization. The proof is based on cohomological sequences and residue theory.

Affiliated with

Also associated with

No associations

Rating

Factoring bivariate polynomials using adjoints does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factoring bivariate polynomials using adjoints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factoring bivariate polynomials using adjoints will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-345036