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Analytic equivalence of plane curve singularities yn +xαy +xβa(x) = 0
dc.creator | Stepanović, Vanja | |
dc.creator | Lipkovski, A. | |
dc.date.accessioned | 2020-12-17T19:08:00Z | |
dc.date.available | 2020-12-17T19:08:00Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 0350-1302 | |
dc.identifier.uri | http://aspace.agrif.bg.ac.rs/handle/123456789/1614 | |
dc.description.abstract | There are not many examples of complete analytical classification of specific families of singularities, even in the case of plane algebraic curves. In 1989, Kang and Kim published a paper on analytical classification of plane curve singularities yn+a(x)y+b(x) = 0, or, equivalently, yn+xαy+xβA(x) = 0 where A(x) is a unit in Ct{x}, α and β are integers, α _ n − 1 and β _ n. The classification was not complete in the most difficult case α n−1 = β n. In the present paper, the classification is extended also in this case, the proofs are improved and some gaps are removed. | en |
dc.publisher | Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd | |
dc.rights | openAccess | |
dc.source | Publications de l'Institut Mathematique | |
dc.title | Analytic equivalence of plane curve singularities yn +xαy +xβa(x) = 0 | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 78 | |
dc.citation.issue | 95 | |
dc.citation.other | 81(95): 69-78 | |
dc.citation.spage | 69 | |
dc.citation.volume | 81 | |
dc.identifier.fulltext | http://aspace.agrif.bg.ac.rs/bitstream/id/545/1611.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_agrospace_1614 | |
dc.type.version | publishedVersion |