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Jia, Jia; Xie, Junyi; Zhang, De-Qi
Mathematische Zeitschrift, 02/2023, Letnik: 303, Številka: 2Journal Article
Let f : X → X be a surjective endomorphism of a normal projective surface. When deg f ≥ 2 , applying an (iteration of) f -equivariant minimal model program (EMMP), we determine the geometric structure of X . Using this, we extend the second author’s result to singular surfaces to the extent that either X has an f -invariant non-constant rational function, or f has infinitely many (disjoint) Zariski-dense forward orbits; this result is also extended to adelic topology (which is finer than Zariski topology).
