10 citations · 12 across the 4 of their papers we have counts for
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Categorical Torelli theorems for higher Picard rank Fano double covers
Augustinas Jacovskis, Reinder Meinsma
We prove categorical Torelli theorems for four families of Fano double covers with Picard rank greater than 1. Among these is the family of Verra fourfolds. The other three familie…
Cyclic covers: Hodge theory and categorical Torelli theorems
Hannah Dell, Augustinas Jacovskis, Franco Rota
Let admit a rectangular Lefschetz decomposition of its derived category, and consider a cyclic cover ramified over a divisor . In a setting not considered by Kuznet…
Brill-Noether reconstruction of index one prime Fano threefolds
Augustinas Jacovskis, Zhiyu Liu, Shizhuo Zhang
We show by a uniform argument that every index one prime Fano threefold of genus can be reconstructed as a Brill-Noether locus inside a Bridgeland moduli space of sta…
Infinitesimal categorical Torelli theorems for Fano threefolds
Augustinas Jacovskis, Xun Lin, Zhiyu Liu +1
Let be a smooth Fano variety and the Kuznetsov component. Torelli theorems for says that it is uniquely determined by a polarized abelian va…
Categorical Torelli theorems for Gushel-Mukai threefolds
Augustinas Jacovskis, Xun Lin, Zhiyu Liu +1
We show that a general ordinary Gushel-Mukai(GM) threefold is reconstructed from the Kuznetsov component together with an extra data coming from tautological…