On commuting polynomial automorphisms of C.
We charocterize the commuting polynomial automorphisms of C2, using their meromorphic extension to P2 and looking at their dynamics on the line at infinity.
Teoria della iterazione, mappe olomorfe che commutano e dinamica complessa al punto di Wolff
The tame automorphism group of an affine quadric threefold acting on a square complex
We study the group of tame automorphisms of a smooth affine -dimensional quadric, which we can view as the underlying variety of . We construct a square complex on which the group admits a natural cocompact action, and we prove that the complex is and hyperbolic. We propose two applications of this construction: We show that any finite subgroup in is linearizable, and that satisfies the Tits alternative.
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