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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
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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
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Feb
5
asked Birational Automorphisms and infinite divisibility
Nov
17
answered Beginners text on Calculus of Variations
Nov
17
awarded  Scholar
Nov
17
comment Hyperbolicity for Algebraic Varities and relation to curves on them
Thanks so much! I guess I need to learn how to do computations, not only the statements of the theorems :)
Nov
17
accepted Hyperbolicity for Algebraic Varities and relation to curves on them
Nov
17
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Nov
17
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Nov
17
asked Hyperbolicity for Algebraic Varities and relation to curves on them
Nov
16
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