Abstract
AbstractWe give a new proof of the derived equivalence of a pair of varieties connected by the flop of type C2 in the list of Kanemitsu (2018), which is originally due to Segal (Bull. Lond. Math. Soc., 48 (3) 533–538, 2016). We also prove the derived equivalence of a pair of varieties connected by the flop of type ${A}_{4}^{G}$
A
4
G
in the same list. The latter proof follows that of the derived equivalence of Calabi–Yau 3-folds in Grassmannians Gr(2,5) and Gr(3,5) by Kapustka and Rampazzo (Commun. Num. Theor. Phys., 13 (4) 725–761 2019) closely.
Publisher
Springer Science and Business Media LLC
Reference24 articles.
1. Addington, N., Donovan, W., Meachan, C.: Mukai flops and $\mathbb {P}$-twists. J. Reine. Angew. Math. 748, 227–240 (2019)
2. Balllard, M., Favero, D., Katzarkov, L.: Variation of geometric invariant theory quotients and derived categories. J. Reine. Angew. Math. 746, 235–304 (2019)
3. Beĭlinson, A.A.: Coherent sheaves on $\mathbb {P}^{n}$ and problems in linear algebra. Funct. Anal. Appl. + 12, 214–216 (1978)
4. Bondal, A., Orlov, D.: Derived categories of coherent sheaves. In: Proceedings of the International Congress of Mathematicians. Vol. II (Beijing, 2002), Higher Ed. press, Beijing, pp 47–56 (2002)
5. Bondal, A., Orlov, D.: Semiorthogonal decomposition for algebraic varieties, arXiv:alg-geom/9506012 (1995)
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