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Standard bases, critical tropisms and flatness

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Abstract

Using the standard basis notion, we adapt to the affine algebraic geometry the notion of the critical tropisms of Lejeune-Teissier and we give some effective criteria for testing geometrical properties for the generic projectionX=SpecK[t1,...,tm][x1,...,xn]/I ↦ y=SpecK[t1,...,tm].

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Authors and Affiliations

  1. Laboratoire J. A. Dieudonné, URA 168 CNRS Mathématiques-Université de Nice-Sophia, Antipolis Parc Valrose, F-06108, Nice Cedex 02, France

    Abdallah Assi

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  1. Abdallah Assi
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Assi, A. Standard bases, critical tropisms and flatness. AAECC 4, 197–215 (1993). https://doi.org/10.1007/BF01202038

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  • DOI: https://doi.org/10.1007/BF01202038

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