DC Field | Value | Language |
---|---|---|
dc.contributor.author | Oh, YG | - |
dc.date.accessioned | 2016-03-31T07:31:35Z | - |
dc.date.available | 2016-03-31T07:31:35Z | - |
dc.date.created | 2015-02-17 | - |
dc.date.issued | 2011-03 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.other | 2011-OAK-0000032005 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/13727 | - |
dc.description.abstract | In this paper, we establish general stratawise higher jet evaluation transversality of J-holomorphic curves for a generic choice of almost complex structures J (tame to a given symplectic manifold (M, omega)). Using this transversality result, we prove that there exists a subset J(omega)(ram) subset of J(omega) of second category such that for every J is an element of J(omega)(ram), the dimension of the moduli space of (somewhere injective) J-holomorphic curves with a given ramification profile goes down by 2n or 2(n - 1) depending on whether the ramification degree goes up by one or a new ramification point is created. We also derive that for each J is an element of J(omega)(ram) there are only a finite number of ramification profiles of J-holomorphic curves in a given homology class beta is an element of H(2)(M; Z) and provide an explicit upper bound on the number of ramification profiles in terms of c(1)(beta) and the genus g of the domain surface. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | KOREAN MATHEMATICVAL SOC | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.subject | higher jet evaluation transversality | - |
dc.subject | holomorphic jets | - |
dc.subject | ramification profiles | - |
dc.subject | distributions with points support | - |
dc.subject | COMPLEX-MANIFOLDS | - |
dc.title | Higher jet evaluation transversality of J-holomorphic curves | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.4134/JKMS.2011.48.2.341 | - |
dc.author.google | Oh, YG | - |
dc.relation.volume | 48 | - |
dc.relation.issue | 2 | - |
dc.relation.startpage | 341 | - |
dc.relation.lastpage | 365 | - |
dc.contributor.id | 11170375 | - |
dc.relation.journal | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCIE | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.48, no.2, pp.341 - 365 | - |
dc.identifier.wosid | 000288050300009 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 365 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 341 | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 48 | - |
dc.contributor.affiliatedAuthor | Oh, YG | - |
dc.identifier.scopusid | 2-s2.0-79952609918 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 2 | - |
dc.description.scptc | 4 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | higher jet evaluation transversality | - |
dc.subject.keywordAuthor | holomorphic jets | - |
dc.subject.keywordAuthor | ramification profiles | - |
dc.subject.keywordAuthor | distributions with points support | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
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