Commuting pairs of endomorphisms of P2
Abstract
We consider commuting pairs of holomorphic endomorphisms of P2 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 Latt\`es maps or commuting homogeneous polynomial maps of C2 inducing a Latt\`es map on the hyperplane at infinity.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.