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About Embeddings Of Line In The Plane And Abhyankar-Moh Epimorphism Theorem
In this paper, we consider the parameter space of the rationalplane curves with uni-branched singularity. We show that such a parameterspace is decomposable into irreducible components which are rationalvarieties. Rational parametrizations of the irreducible componentsare given in a constructive way, by a repeated use of Abhyankar-MohEpimorphism Theorem. We compute an enumerative invariant of thisparameter space, and include explicit computational examples to recoversome classically-known invariants.
Detailed Information
| Author: | Joe D., Park H. |
|---|---|
| Publication Year: | 2009 |
| ISBN: | 135398 |
| Pages: | 12 |
| Language: | English |
| File Size: | 0.131 |
| Format: | |
| Price: | FREE |
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