Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds
We 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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209533 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Movable 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862661353592848384 |
|---|---|
| author | Hosono, S. Takagi, H. |
| author_facet | Hosono, S. Takagi, H. |
| citation_txt | Movable 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We 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.
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| first_indexed | 2025-12-07T15:06:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209533 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:06:20Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hosono, S. Takagi, H. 2025-11-24T10:44:00Z 2018 Movable 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. 1815-0659 2010 Mathematics Subject Classification: 14E05; 14E07; 14J33; 14N33 arXiv: 1707.08728 https://nasplib.isofts.kiev.ua/handle/123456789/209533 https://doi.org/10.3842/SIGMA.2018.039 We 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. The 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds Article published earlier |
| spellingShingle | Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds Hosono, S. Takagi, H. |
| title | Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds |
| title_full | Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds |
| title_fullStr | Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds |
| title_full_unstemmed | Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds |
| title_short | Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds |
| title_sort | movable vs monodromy nilpotent cones of calabi-yau manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209533 |
| work_keys_str_mv | AT hosonos movablevsmonodromynilpotentconesofcalabiyaumanifolds AT takagih movablevsmonodromynilpotentconesofcalabiyaumanifolds |