Invariant hypersurfaces of endomorphisms of projective varieties
classification
🧮 math.AG
math.DS
keywords
projectiveendomorphismshypersurfacesnumberstablevarietiesboundchain
read the original abstract
We consider surjective endomorphisms f of degree > 1 on projective manifolds X of Picard number one and their f^{-1}-stable hypersurfaces V, and show that V is rationally chain connected. Also given is an optimal upper bound for the number of f^{-1}-stable prime divisors on (not necessarily smooth) projective varieties.
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