On the Degree Growth of Birational Mappings in Higher Dimension
| dc.creator | Bedford, Eric | |
| dc.creator | Kim, Kyounghee | |
| dc.date | 2004-06-30 | |
| dc.date | 2004-08-16 | |
| dc.date.accessioned | 2026-07-07T05:09:51Z | |
| dc.date.available | 2026-07-07T05:09:51Z | |
| dc.description | Let $f$ be a birational map of ${\bf C}^d$, and consider the degree complexity, or asymptotic degree growth rate $δ(f)=\lim_{n\to\infty}({\rm deg}(f^n))^{1/n}$. We introduce a family of elementary maps, which have the form $f=L\circ J$, where $L$ is (invertible) linear, and $J(x_1,...,x_d)=(x_1^{-1},...,x_d^{-1})$. We develop a method of regularization and show how it can be used to compute $δ$ for an elementary map. | |
| dc.identifier | https://arxiv.org/abs/math/0406621 | |
| dc.identifier | http://arxiv.org/abs/math/0406621 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71736 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | 37F99 32H50 14E07 | |
| dc.title | On the Degree Growth of Birational Mappings in Higher Dimension | |
| dc.type | text |