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Jaehyun, Hong
복소기하학 연구단
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Simplicity of tangent bundles of smooth horospherical varieties of Picard number one

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dc.contributor.authorJaehyun Hong-
dc.date.accessioned2022-08-04T22:00:49Z-
dc.date.available2022-08-04T22:00:49Z-
dc.date.created2022-05-10-
dc.date.issued2022-03-
dc.identifier.issn1631-073X-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/12154-
dc.description.abstract© 2022 Elsevier Masson SAS. All rights reserved.Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexample is a smooth horospherical variety. There is a weaker conjecture that the tangent bundle of a Fano manifold of Picard number one is simple. We prove that this weaker conjecture is valid for smooth horospherical varieties of Picard number one. Our proof follows from the existence of an irreducible family of unbendable rational curves whose tangent vectors span the tangent spaces of the horospherical variety at general points.-
dc.language영어-
dc.publisherAcademie des sciences-
dc.titleSimplicity of tangent bundles of smooth horospherical varieties of Picard number one-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.scopusid2-s2.0-85128817778-
dc.identifier.rimsid78133-
dc.contributor.affiliatedAuthorJaehyun Hong-
dc.identifier.doi10.5802/crmath.299-
dc.identifier.bibliographicCitationComptes Rendus Mathematique, v.360, pp.285 - 290-
dc.relation.isPartOfComptes Rendus Mathematique-
dc.citation.titleComptes Rendus Mathematique-
dc.citation.volume360-
dc.citation.startPage285-
dc.citation.endPage290-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
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Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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