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- Title
Periodic points for area-preserving birational maps of surfaces.
- Authors
Iwasaki, Katsunori; Uehara, Takato
- Abstract
It is a basic problem to count the number of periodic points of a surface mapping, since the growth rate of this number as the period tends to infinity is an important dynamical invariant. However, this problem becomes difficult when the map admits curves of periodic points. In this situation we give a precise estimate of the number of isolated periodic points for an area-preserving birational map of a projective complex surface.
- Subjects
PERIODIC functions; MATHEMATICAL mappings; GEOMETRIC surfaces; INVARIANTS (Mathematics); ALGEBRAIC curves; ESTIMATION theory; MATHEMATICAL analysis
- Publication
Mathematische Zeitschrift, 2010, Vol 266, Issue 2, p289
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-009-0570-3