Towards Toric Absolute Factorization

Mohamed Elkadi (1) , André Galligo (1) , Martin Weimann (2)

1 GALAAD - Geometry, algebra, algorithms
2 JAD - Laboratoire Jean Alexandre Dieudonné

This article gives an algorithm to recover the absolute factorization of a bivariate polynomial, taking into account the geometry of its monomials. It is based on algebraic criterions inherited from algebraic interpolation and toric geometry.

Domaines: Algèbre commutative [math.AC]

Mohamed Elkadi, André Galligo, Martin Weimann. Towards Toric Absolute Factorization. Journal of Symbolic Computation, 2009, pp.1194-1211. ⟨10.1016/j.jsc.2008.03.007⟩. ⟨inria-00438275⟩