Newton Polytope of Multivariate Polynomials on Singular Point (Computer Algebra --Theory and its Applications)

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Other Title
  • 多変数多項式に対するNewton polytope (Computer Algebra --Theory and its Applications)
  • 多変数多項式に対するNewton polytope
  • タヘンスウ タコウシキ ニ タイスル Newton polytope

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Description

In strategies of exteneded Hensel construction (EHC), we need to plot pairs of degrees for eacf term of given polynomial, on 2-dimension plane (we consider the Newton polygon). However, in multivariate case (more than 3-variable), several information will be vanished as the factorization. In this paper, we consider the Newton polytope instead of the Newton polygon, we show several examples as the EHC with Newton polytope.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2138 39-44, 2019-12

    京都大学数理解析研究所

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