DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hwang, DongSeon | ko |
dc.contributor.author | Keum, JongHae | ko |
dc.date.accessioned | 2013-03-09T00:51:22Z | - |
dc.date.available | 2013-03-09T00:51:22Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011-07 | - |
dc.identifier.citation | MATHEMATISCHE ANNALEN, v.350, no.3, pp.721 - 754 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.uri | http://hdl.handle.net/10203/94871 | - |
dc.description.abstract | Montgomery-Yang problem predicts that every pseudofree circle action on the 5-dimensional sphere has at most 3 non-free orbits. Using a certain one-to-one correspondence, Kollar formulated the algebraic version of the Montgomery-Yang problem: every projective surface S with quotient singularities such that the second Betti number b (2)(S) = 1 has at most 3 singular points if its smooth locus S (0) is simply connected. We prove the conjecture under the assumption that S has at least one non-cyclic singularity. In the course of the proof, we classify projective surfaces S with quotient singularities such that (i) b (2)(S) = 1, (ii) , and (iii) S has 4 or more singular points, not all cyclic, and prove that all such surfaces have , the icosahedral group. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | MIYAOKA-YAU INEQUALITY | - |
dc.subject | SURFACES | - |
dc.subject | QUOTIENTS | - |
dc.title | Algebraic Montgomery-Yang problem: the non-cyclic case | - |
dc.type | Article | - |
dc.identifier.wosid | 000291485800010 | - |
dc.identifier.scopusid | 2-s2.0-79958242378 | - |
dc.type.rims | ART | - |
dc.citation.volume | 350 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 721 | - |
dc.citation.endingpage | 754 | - |
dc.citation.publicationname | MATHEMATISCHE ANNALEN | - |
dc.identifier.doi | 10.1007/s00208-010-0565-8 | - |
dc.contributor.nonIdAuthor | Keum, JongHae | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | MIYAOKA-YAU INEQUALITY | - |
dc.subject.keywordPlus | SURFACES | - |
dc.subject.keywordPlus | QUOTIENTS | - |
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