On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions
| Autor: | Hara, Wahei |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | SIGMA 17 (2021), 044, 22 pages |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3842/SIGMA.2021.044 |
| Popis: | The Abuaf-Ueda flop is a 7-dimensional flop related to $G_2$ 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 for the derived equivalence using tilting bundles. Our proof also shows the existence of a non-commutative crepant resolution of the singularity appearing in the flopping contraction. We also give some results on moduli spaces of finite-length modules over this non-commutative crepant resolution. |
| Databáze: | arXiv |
| Externí odkaz: |
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