Minuscule Schubert Varieties and Mirror Symmetry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Minuscule Schubert Varieties and Mirror Symmetry
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| Creator |
Miura, M.
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| 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.
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| Date |
2019-02-18T18:20:01Z
2019-02-18T18:20:01Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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