TY - JOUR AU - Zhao, Xiaolei AB - We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi–Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov’s rationality conjecture and of a noncommutative version of Reid’s fantasy on the connectedness of the moduli of Calabi–Yau threefolds. TI - Derived Categories of Quartic Double Fivefolds JF - International Mathematics Research Notices DO - 10.1093/imrn/rnaf119 DA - 2025-05-14 UR - https://www.deepdyve.com/lp/oxford-university-press/derived-categories-of-quartic-double-fivefolds-VfVCZdQOBY VL - 2025 IS - 10 DP - DeepDyve ER -