Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Hosono, S., Takagi, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209533
• 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.

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.