bio | website | math.uchicago.edu/~sfilip |
---|---|---|
location | Chicago | |
age | ||
visits | member for | 4 years, 1 month |
seen | Oct 7 at 13:49 | |
stats | profile views | 121 |
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
added 36 characters in body |
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
added 55 characters in body |
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 |
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 |
awarded | Supporter |
Nov 17 |
awarded | Student |
Nov 17 |
asked | Hyperbolicity for Algebraic Varities and relation to curves on them |
Nov 16 |
awarded | Teacher |