Topics in transcendental algebraic geometry/ by Griffiths, Phillip, 1938-

Subjects:

Moduli spaces on the Kuznetsov component of Fano threefolds of index 2 by Matteo Altavilla, Marin Petkovic, Franco Rota

“…We identify a subvariety of the moduli space isomorphic to $Y$ itself, and as an application we prove a (refined) categorical Torelli theorem for general quartic double solids.…”
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Finite subgroups of automorphisms of K3 surfaces by Simon Brandhorst, Tommy Hofmann

“…The moduli theory of K3 surfaces, in particular the surjectivity of the period map and the strong Torelli theorem allow us to interpret this datum geometrically. …”
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From Semi-Orthogonal Decompositions to Polarized Intermediate Jacobians Via Jacobians of Noncommutative Motives by Bernardara, Marcello, Trigo Neri Tabuada, Goncalo Jorge

“…As an application, we obtain categorical Torelli theorems, an incompatibility between two conjectures of Kuznetsov (one concerning functors of Fourier–Mukai type and another one concerning Fano threefolds), and also several new results on quadric fibrations and intersections of quadrics.…”
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