Blanc, Jérémy and Cantat, Serge. (2016) Dynamical degrees of birational transformations of projective surfaces. Journal of the American Mathematical Society (JAMS) , 29 (2). pp. 415471.
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Official URL: http://edoc.unibas.ch/42955/
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Abstract
The dynamical degree lambda( f ) of a birational transformation f measures the exponential growth rate of the degree of the formulae that define the n th iterate of f . We study the set of all dynamical degrees of all birational transformations of projective surfaces, and the relationship between the value of lambda( f ) and the structure of the conjugacy class of f . For instance, the set of all dynamical degrees of birational transformations of the complex projective plane is a closed and well ordered set of algebraic numbers.
Faculties and Departments:  05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Blanc) 

UniBasel Contributors:  Blanc, Jérémy 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  American Mathematical Society (AMS) 
ISSN:  08940347 
eISSN:  10886834 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Identification Number: 

Last Modified:  29 Nov 2016 10:18 
Deposited On:  29 Nov 2016 10:18 
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