Towards Toric Absolute Factorization

Mohamed Elkadi; André Galligo; Martin Weimann

doi:10.1016/j.jsc.2008.03.007

Journal Articles Journal of Symbolic Computation Year : 2009

Towards Toric Absolute Factorization

(1) , (1) , (2)

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Mohamed Elkadi

Function : Author
PersonId : 843842

Geometry, algebra, algorithms

André Galligo

Function : Author
PersonId : 835184

Geometry, algebra, algorithms

Martin Weimann

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PersonId : 16258
IdHAL : martin-weimann
IdRef : 112092497

Laboratoire Jean Alexandre Dieudonné

Abstract

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.

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Commutative Algebra [math.AC]

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https://inria.hal.science/inria-00438275

Submitted on : Thursday, December 3, 2009-10:42:59 AM

Last modification on : Thursday, March 14, 2024-3:09:00 AM

Long-term archiving on: Thursday, June 17, 2010-11:04:39 PM

Dates and versions

inria-00438275 , version 1 (03-12-2009)

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HAL Id : inria-00438275 , version 1
DOI : 10.1016/j.jsc.2008.03.007

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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⟩

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Towards Toric Absolute Factorization

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