HPD-invariance of the Tate conjecture
Tabuada, Goncalo
Algebraic Geometry
Algebraic Topology
K-Theory and Homology
Representation Theory
14A22, 19D35, 19E08, 55N32
Original · EN
We prove that the Tate conjecture is invariant under Homological Projective Duality (=HPD). As an application, we prove the Tate conjecture in the new cases of linear sections of determinantal varieties, and also in the cases of complete intersections of two quadrics. Furthermore, we extend the Tate conjecture from schemes to stacks and prove it for certain global orbifolds
English translation
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