Manifolds with non-zero degree maps to nilmanifolds have controlled finite group actions, and a new iterated symmetry invariant forces rational cohomology rigidity over two-step nilmanifolds.
Jordan property for automorphism groups of compact varieties
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In this note, we report some recent progress on the Jordan property for (birational) automorphism groups of projective varieties and compact complex varieties.
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Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds
Manifolds with non-zero degree maps to nilmanifolds have controlled finite group actions, and a new iterated symmetry invariant forces rational cohomology rigidity over two-step nilmanifolds.