Birational properties of the gap subresultant varieties

  • Authors:

  • Mhammed El Kahoui

  • Affiliations:

  • Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O. Box 2390, Marrakech, Morocco

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 2005

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Abstract

In this paper we address the problem of understanding the gaps that may occur in the subresultant sequence of two polynomials. We define the gap subresultant varieties and prove that they are rational and have the expected dimension. We also give explicitly their corresponding prime ideals.