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Article Dans Une Revue Journal of Singularities Année : 2012

Irreducibility criterion for quasi-ordinary polynomials



Using the notion of approximate roots and that of generalized Newton sets, we give a local criterion for a quasi ordinary polynomial to be irreducible. Such a criterion is useful in the study of singularities of quasi-ordinary hypersurfaces. It generalizes the criterion given by S.S. Abhyankar for algebraic plane curves.

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Dates et versions

hal-03031612 , version 1 (30-11-2020)


  • HAL Id : hal-03031612 , version 1
  • OKINA : ua75


Abdallah Assi. Irreducibility criterion for quasi-ordinary polynomials. Journal of Singularities, 2012, 4, pp.23 - 34. ⟨hal-03031612⟩
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