Using Smith Normal Forms and mu-Bases to Compute all the Singularities of Rational Planar Curves

Abstract

We prove the conjecture of Chen, Wang and Liu in [8] concerning how to calculate the parameter values corresponding to all the singu- larities, including the infinitely near singularities, of rational planar curves from the Smith normal forms of certain Bezout resultant ma- trices derived from mu-bases.

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