Joe D., Park H. — Embeddings Of Line In The Plane And Abhyankar-Moh Epimorphism Theorem
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Название: Embeddings Of Line In The Plane And Abhyankar-Moh Epimorphism Theorem
Авторы: Joe D., Park H.
Аннотация:
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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