Mixed Discriminants

نویسندگان

  • Eduardo Cattani
  • María Angélica Cueto
  • Alicia Dickenstein
  • Sandra Di Rocco
  • Bernd Sturmfels
چکیده

The mixed discriminant of n Laurent polynomials in n variables is the irreducible polynomial in the coefficients which vanishes whenever two of the roots coincide. The Cayley trick expresses the mixed discriminant as an A-discriminant. We show that the degree of the mixed discriminant is a piecewise linear function in the Plücker coordinates of a mixed Grassmannian. An explicit degree formula is given for the case of plane curves. Dedicated to the memory of our friend Mikael Passare (1959–2011)

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عنوان ژورنال:
  • CoRR

دوره abs/1112.1012  شماره 

صفحات  -

تاریخ انتشار 2011