Minuscule Schubert Varieties and Mirror Symmetry
We consider smooth complete intersection Calabi-Yau 3-folds in minuscule Schubert varieties, and study their mirror symmetry by degenerating the ambient Schubert varieties to Hibi toric varieties. We list all possible Calabi-Yau 3-folds of this type up to deformation equivalences, and find a new exa...
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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148736 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Minuscule Schubert Varieties and Mirror Symmetry / M. Miura // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 65 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1487362019-02-19T01:23:38Z Minuscule Schubert Varieties and Mirror Symmetry Miura, M. We consider smooth complete intersection Calabi-Yau 3-folds in minuscule Schubert varieties, and study their mirror symmetry by degenerating the ambient Schubert varieties to Hibi toric varieties. We list all possible Calabi-Yau 3-folds of this type up to deformation equivalences, and find a new example of smooth Calabi-Yau 3-folds of Picard number one; a complete intersection in a locally factorial Schubert variety Σ of the Cayley plane OP². We calculate topological invariants and BPS numbers of this Calabi-Yau 3-fold and conjecture that it has a non-trivial Fourier-Mukai partner. 2017 Article Minuscule Schubert Varieties and Mirror Symmetry / M. Miura // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 65 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14J32; 14J33; 14M15; 14M25 DOI:10.3842/SIGMA.2017.067 http://dspace.nbuv.gov.ua/handle/123456789/148736 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We consider smooth complete intersection Calabi-Yau 3-folds in minuscule Schubert varieties, and study their mirror symmetry by degenerating the ambient Schubert varieties to Hibi toric varieties. We list all possible Calabi-Yau 3-folds of this type up to deformation equivalences, and find a new example of smooth Calabi-Yau 3-folds of Picard number one; a complete intersection in a locally factorial Schubert variety Σ of the Cayley plane OP². We calculate topological invariants and BPS numbers of this Calabi-Yau 3-fold and conjecture that it has a non-trivial Fourier-Mukai partner. |
| format |
Article |
| author |
Miura, M. |
| spellingShingle |
Miura, M. Minuscule Schubert Varieties and Mirror Symmetry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Miura, M. |
| author_sort |
Miura, M. |
| title |
Minuscule Schubert Varieties and Mirror Symmetry |
| title_short |
Minuscule Schubert Varieties and Mirror Symmetry |
| title_full |
Minuscule Schubert Varieties and Mirror Symmetry |
| title_fullStr |
Minuscule Schubert Varieties and Mirror Symmetry |
| title_full_unstemmed |
Minuscule Schubert Varieties and Mirror Symmetry |
| title_sort |
minuscule schubert varieties and mirror symmetry |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148736 |
| citation_txt |
Minuscule Schubert Varieties and Mirror Symmetry / M. Miura // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 65 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT miuram minusculeschubertvarietiesandmirrorsymmetry |
| first_indexed |
2023-05-20T17:31:13Z |
| last_indexed |
2023-05-20T17:31:13Z |
| _version_ |
1796153485102678016 |