The authors construct an action of autoequivalences of twisted abelian surfaces on the Albanese kernel and prove Bloch's conjecture for all (anti-)symplectic cases, with applications to symplectic birational maps on twisted modular Kum_n varieties and a new filtration comparison in the sixfold case.
Twisted Fourier-Mukai functors
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Bloch's conjecture for equivalences between twisted abelian surfaces and applications
The authors construct an action of autoequivalences of twisted abelian surfaces on the Albanese kernel and prove Bloch's conjecture for all (anti-)symplectic cases, with applications to symplectic birational maps on twisted modular Kum_n varieties and a new filtration comparison in the sixfold case.