polarDegrees -- polar degrees of a coincident root locus

Synopsis

• Usage:

  polarDegrees X

• Inputs:
  • X, a coincident root locus
• Outputs:
  • a list, the polar degrees of X

Description

This method is based on a conjecture given in Algebraic boundaries among typical ranks for real binary forms of arbitrary degree, which has been verified for all the coincident root loci $X\subset\mathbb{P}^r$ with $r\leq 7$.

i1 : X = coincidentRootLocus(3,2,2)

o1 = CRL(3,2,2)

o1 : Coincident root locus

i2 : polarDegrees X

o2 = {36, 80, 66, 24}

o2 : List

See also

• conormalVariety -- conormal variety
• multidegree -- multidegree