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arXiv · 1509.06534

Commuting pairs of endomorphisms of P^2

Lucas Kaufmann
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Abstract

We consider commuting pairs of holomorphic endomorphisms of P^2 with disjoint sequence of iterates. The remaining case to be studied is when their degrees coincide after some number of iterations. We show in this case that they are either commuting Lattès maps or commuting homogeneous polynomial maps of C^2 inducing a Lattès map on the hyperplane at infinity.

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Lucas Kaufmann. 2015-09-22. Commuting pairs of endomorphisms of P^2. https://doi.org/10.1017/etds.2016.54

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