On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Hara, Wahei
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211305
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions. Wahei Hara. SIGMA 17 (2021), 044, 22 pages

The Abuaf-Ueda flop is a 7-dimensional flop related to ₂ homogeneous spaces. The derived equivalence for this flop was first proved by Ueda using mutations of semi-orthogonal decompositions. In this article, we give an alternative proof of the derived equivalence using tilting bundles. Our proof als...