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arXiv · 2603.24173

On the dynamical degree of surjective endomorphisms

Ilya Karzhemanov
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Abstract

We establish a couple of dynamical properties of surjective rational maps $f: X \dashrightarrow X$ for smooth projective surfaces $X$. We also give a numerical condition for regularity of $f$. Some explicit constructions and calculations, related to the topological entropy of $f$, are provided.

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Ilya Karzhemanov. 2026-03-25. On the dynamical degree of surjective endomorphisms. https://arxiv.org/abs/2603.24173

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