sfilip

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Name sfilip
Member for 2 years
Seen Apr 27 at 14:49
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Feb
8
comment Birational Automorphisms and infinite divisibility
Thanks a lot for this answer and for all the references!
Feb
8
revised Birational Automorphisms and infinite divisibility
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Feb
6
awarded  Critic
Feb
6
comment Birational Automorphisms and infinite divisibility
Jérémy, thanks a lot for the results and references! I was in fact curious if anything is known about the growth rate of the degree of a general birational automorphism (in arbitrary dimension)? I realize one can't expect a general classification, but perhaps something besides the possibility of exponential growth is known?
Feb
6
comment Birational Automorphisms and infinite divisibility
Unfortunately the Cantat and Lamy results and methods apply only to the planar Cremona group, as far as I understand them. The hyperbolic space comes from the intersection form on the divisors, and that's only available in dimension two.
Feb
6
revised Birational Automorphisms and infinite divisibility
added 612 characters in body
Feb
6
revised Birational Automorphisms and infinite divisibility
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Feb
6
comment Birational Automorphisms and infinite divisibility
@Mariano I was hoping to suggest that "birational action" means a birational map $\mathbb{G}_a\times X \to X$ with the natural compatibility conditions making it an action. This would be one way to make sense of the question, but there might be other reasonable ones.
Feb
5
awarded  Editor
Feb
5
comment Birational Automorphisms and infinite divisibility
Apologies for being vague, I've tried to fix the question a bit. Yves, unfortunately I'm ignorant even about the algebraic situation.
Feb
5
revised Birational Automorphisms and infinite divisibility
added 224 characters in body
Feb
5
asked Birational Automorphisms and infinite divisibility