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離散数理モデリングセミナー
過去の記録 ～06/20｜次回の予定｜今後の予定 06/21～
| 担当者 | 時弘哲治, ウィロックス ラルフ |
|---|
2024年04月24日(水)
13:30-15:00 数理科学研究科棟(駒場) 126号室
Jaume Alonso 氏 (Technische Universität Berlin)
Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups (English)
Jaume Alonso 氏 (Technische Universität Berlin)
Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups (English)
[ 講演概要 ]
In this talk we propose a new method for the exact computation of the degree deg(fn) of the iterates of a birational map f:Pn⇢. The method is based on two main ingredients. Firstly, the factorisation of a polynomial under the pull-back by f, based on local indices of a polynomial associated to blow-ups used to resolve the singularity. Secondly, the propagation of these indices along the orbits of f. We will illustrate the method in different examples, showing its flexibility, since it does not require the construction of an algebraically stable lift of f, unlike other methods based on the Picard group.
This is a joint work with Yuri Suris and Kangning Wei.
In this talk we propose a new method for the exact computation of the degree deg(fn) of the iterates of a birational map f:Pn⇢. The method is based on two main ingredients. Firstly, the factorisation of a polynomial under the pull-back by f, based on local indices of a polynomial associated to blow-ups used to resolve the singularity. Secondly, the propagation of these indices along the orbits of f. We will illustrate the method in different examples, showing its flexibility, since it does not require the construction of an algebraically stable lift of f, unlike other methods based on the Picard group.
This is a joint work with Yuri Suris and Kangning Wei.
