Wahei Hara - Publications

Articles

"Mutations of noncommutative crepant resolutions in geometric invariant theory" (with Y. Hirano), Selecta Math. (N.S.) 30 (2024), no. 4, Paper No. 70, 61 pp. [journal, arXiv]
"Spherical objects in dimensions two and three" (with M. Wemyss), The Journal of the European Mathematical Society. [journal, arXiv]
"Rank two weak Fano bundles on del Pezzo threefolds of degree five" (with T. Fukuoka and D. Ishikawa), Internat. J. Math. 34 (2023), no. 13, Paper No. 2350084, 36 pp. [journal, arXiv]
"On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists", Matematiche (Catania) 77 (2022), no. 2, 329–371. [journal, arXiv]
"Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four" (with T. Fukuoka and D. Ishikawa), Math. Z. 301 (2022), no. 3, 2883–2905. [journal, arXiv]
"On the Abuaf-Ueda flop via non-commutative crepant resolutions", SIGMA Symmetry Integrability Geom. Methods Appl. 17 (2021), Paper No. 044, 22 pp. [journal, arXiv]
"Deformation of tilting-type derived equivalences for crepant resolutions", Int. Math. Res. Not. IMRN 2020, no. 13, 4062–4102. [journal, arXiv]
"Strong full exceptional collections on certain toric varieties with Picard number three via mutations", Matematiche (Catania) 72 (2017), no. 2, 3–24. [journal, arXiv]
"Non-commutative crepant resolution of minimal nilpotent orbit closures of type A and Mukai flops", Adv. Math. 318 (2017), 355–410. [journal, arXiv]

"Derived equivalence for the simple flop of type G_2^† via tilting bundles", 2024. [arXiv]
"Rank two weak Fano bundles on Fano threefolds of Picard rank one" (with T.Fukuoka and D.Ishikawa), 2025. [arXiv]
"Derived equivalence for the simple flop of type D_4 via tilting bundles", 2025. [arXiv]
"Window categories for a simple 9-fold flop of Grassmannian type" (with W. Donovan, M. Kaputska, and M. Rampazzo), 2025. [arXiv]
"Topological Obstructions to Tilting" (with M. Wemyss), in preparation.

"Spherical and Semibrick Classifications" (with M. Wemyss), contribution to the Proceedings of the XXI International Conference on Representations of Algebras (ICRA 21), now under review. [arXiv]

The published version of "Rank two weak Fano bundles on del Pezzo threefolds of degree five" contains an error in Appendix, which has now been corrected in the arXiv version.