Categorical Torelli theorems are proved for Verra fourfolds and three families of Fano threefolds by reducing Kuznetsov component equivalences to derived equivalences of K3 branch divisors or using 2-torsion Brauer classes.
Lian, Keiji Oguiso, and Shing-Tung Yau
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Categorical Torelli theorems for higher Picard rank Fano double covers
Categorical Torelli theorems are proved for Verra fourfolds and three families of Fano threefolds by reducing Kuznetsov component equivalences to derived equivalences of K3 branch divisors or using 2-torsion Brauer classes.