A BOUND FOR THE MILNOR SUM OF PROJECTIVE PLANE CURVES IN TERMS OF GIT
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Shin, Jaesun | ko |
| dc.date.accessioned | 2016-06-28T02:01:17Z | - |
| dc.date.available | 2016-06-28T02:01:17Z | - |
| dc.date.created | 2016-03-21 | - |
| dc.date.created | 2016-03-21 | - |
| dc.date.issued | 2016-03 | - |
| dc.identifier.citation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.53, no.2, pp.461 - 473 | - |
| dc.identifier.issn | 0304-9914 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/207965 | - |
| dc.description.abstract | Let C be a projective plane curve of degree d whose singularities are all isolated. Suppose C is not concurrent lines. Ploski proved that the Milnor number of an isolated singlar point of C is less than or equal to (d-1)(2) - [d/2]. In this paper, we prove that the Milnor sum of C is also less than or equal to (d-1)(2) - [d/2] and the equality holds if and only if C is a Ploski curve. Furthermore, we find a bound for the Milnor sum of projective plane curves in terms of GIT. | - |
| dc.language | English | - |
| dc.publisher | KOREAN MATHEMATICAL SOC | - |
| dc.subject | SINGULARITIES | - |
| dc.subject | HYPERSURFACES | - |
| dc.title | A BOUND FOR THE MILNOR SUM OF PROJECTIVE PLANE CURVES IN TERMS OF GIT | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000370930600014 | - |
| dc.identifier.scopusid | 2-s2.0-84959209972 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 53 | - |
| dc.citation.issue | 2 | - |
| dc.citation.beginningpage | 461 | - |
| dc.citation.endingpage | 473 | - |
| dc.citation.publicationname | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
| dc.identifier.doi | 10.4134/JKMS.2016.53.2.461 | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Milnor sum | - |
| dc.subject.keywordAuthor | polar degree | - |
| dc.subject.keywordAuthor | GIT | - |
| dc.subject.keywordPlus | SINGULARITIES | - |
| dc.subject.keywordPlus | HYPERSURFACES | - |
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