Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EMBED DINGS OF LINE IN THE PLANE AND ABHYANKAR-MOH EPIMORPHISM THEOREM

  • Joe, Do-Sang (DEPARTMENT OF MATHEMATICS EDUCATION KONKUK UNIVERSITY) ;
  • Park, Hyung-Ju (SCHOOL OF COMPUTATIONAL SCIENCES KOREA INSTITUTE FOR ADVANCED STUDY)
  • Published : 2009.01.31
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Abstract

In this paper, we consider the parameter space of the rational plane curves with uni-branched singularity. We show that such a parameter space is decomposable into irreducible components which are rational varieties. Rational parametrizations of the irreducible components are given in a constructive way, by a repeated use of Abhyankar-Moh Epimorphism Theorem. We compute an enumerative invariant of this parameter space, and include explicit computational examples to recover some classically-known invariants.

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References

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