4 papers
Algebraic growth of the Cremona group
Alberto Calabri, Serge Cantat, Alex Massarenti +2
We initiate the study of the ''algebraic growth'' of groups of automorphisms and birational transformations of algebraic varieties. Our main result concerns $\text{Bir}(\mathbb{P}^…
Parabolic automorphisms of hyperk{ä}hler manifolds: Orbits and Betti maps
Ekaterina Amerik, Serge Cantat
We study parabolic automorphisms of irreducible holomorphically symplectic manifolds with a lagrangian fibration. Such automorphisms are (possibly up to taking a power) fiberwise t…
Some rigidity results for polynomial automorphisms of C^2
Serge Cantat, Romain Dujardin
We prove several new rigidity results for polynomial automorphisms of with positive entropy. A first result is that a complex slice of the (forward or backward) Julia…
Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate
Serge Cantat, Romain Dujardin
We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism ϕof C…