231 research outputs found
Dynamical degrees of birational transformations of projective surfaces
The dynamical degree of a birational transformation measures
the exponential growth rate of the degree of the formulae that define the
-th iterate of . We study the set of all dynamical degrees of all
birational transformations of projective surfaces, and the relationship between
the value of and the structure of the conjugacy class of . 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.Comment: 65 page
- …