Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

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dc.contributor.authorHosono, S.
dc.contributor.authorTakagi, H.
dc.date.accessioned2025-11-24T10:44:00Z
dc.date.issued2018
dc.description.abstractWe study mirror symmetry of complete intersection Calabi-Yau manifolds that have birational automorphisms of infinite order. We observe that movable cones in birational geometry are transformed, under mirror symmetry, to the monodromy nilpotent cones, which are naturally glued together.
dc.description.sponsorshipThe results of this work have been reported by the first named author (S.H.) in several workshops; “Modular forms in string theory” at BIRS (2016), “Categorical and Analytic invariants IV” at Kavli IPMU (2016), “Workshop on mirror symmetry and related topics” at Kyoto University (2016) and “The 99th Encounter between Mathematicians and Theoretical Physicists” at IRMA, Strasbourg (2017). He would like to thank the organizers for the invitations to the workshops where he had valuable discussions with the participants. Writing this paper started when S.H. was staying at Brandeis University and Harvard University in March 2017. He would like to thank B. Lian and S.-T. Yau for their kind hospitality and also valuable discussions during his stay. The authors would like to thank anonymous referees for their valuable comments, which helped them improve this paper. This work is supported in part by Grant-in-Aid Scientific Research JSPS (C 16K05105, JP17H06127 S.H., and C 16K05090 H.
dc.identifier.citationMovable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds / S. Hosono, H. Takagi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 46 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.039
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14E05; 14E07; 14J33; 14N33
dc.identifier.otherarXiv: 1707.08728
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209533
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleMovable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік