FLAG BOTT MANIFOLDS AND THE TORIC CLOSURE OF A GENERIC ORBIT ASSOCIATED TO A GENERALIZED BOTT MANIFOLD

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dc.contributor.authorKuroki, Shintaroko
dc.contributor.authorLee, Eunjeongko
dc.contributor.authorSong, Jongbaekko
dc.contributor.authorSuh, Dong Youpko
dc.date.accessioned2021-01-28T05:56:59Z-
dc.date.available2021-01-28T05:56:59Z-
dc.date.created2021-01-12-
dc.date.created2021-01-12-
dc.date.issued2020-10-
dc.identifier.citationPACIFIC JOURNAL OF MATHEMATICS, v.308, no.2, pp.347 - 392-
dc.identifier.issn0030-8730-
dc.identifier.urihttp://hdl.handle.net/10203/280085-
dc.description.abstractTo a direct sum of holomorphic line bundles, we can associate two librations, whose fibers are, respectively, the corresponding full flag manifold and the corresponding projective space. Iterating these procedures gives, respectively, a flag Bolt tower and a generalized Bott tower. It is known that a generalized Bolt tower is a toric manifold. However a flag Bolt tower is not toric in general but we show that it is a GKl'I manifold, and we also show that for a given generalized Bott tower we can find the associated flag Bott tower so that the closure of a generic torus orbit in the latter is a blow-up of the former along certain invariant submanifi olds. We use GKM theory together with toric geometric arguments.-
dc.languageEnglish-
dc.publisherPACIFIC JOURNAL MATHEMATICS-
dc.titleFLAG BOTT MANIFOLDS AND THE TORIC CLOSURE OF A GENERIC ORBIT ASSOCIATED TO A GENERALIZED BOTT MANIFOLD-
dc.typeArticle-
dc.identifier.wosid000597944100005-
dc.identifier.scopusid2-s2.0-85098739926-
dc.type.rimsART-
dc.citation.volume308-
dc.citation.issue2-
dc.citation.beginningpage347-
dc.citation.endingpage392-
dc.citation.publicationnamePACIFIC JOURNAL OF MATHEMATICS-
dc.identifier.doi10.2140/pjm.2020.308.347-
dc.contributor.localauthorSuh, Dong Youp-
dc.contributor.nonIdAuthorKuroki, Shintaro-
dc.contributor.nonIdAuthorLee, Eunjeong-
dc.contributor.nonIdAuthorSong, Jongbaek-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorflag Bolt tower-
dc.subject.keywordAuthorflag Bolt manifold-
dc.subject.keywordAuthorgeneralized Bott manifold-
dc.subject.keywordAuthorGKM theory-
dc.subject.keywordAuthortoric manifold-
dc.subject.keywordAuthorblow-up-
dc.subject.keywordPlusTOPOLOGICAL CLASSIFICATION-
dc.subject.keywordPlusEQUIVARIANT COHOMOLOGY-
dc.subject.keywordPlusQUASITORIC MANIFOLDS-
dc.subject.keywordPlusTORUS-
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