Periodic points for area-preserving birational maps of surfaces

Katsunori Iwasaki, Takato Uehara

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)289-318
Number of pages30
JournalMathematische Zeitschrift
Volume266
Issue number2
DOIs
Publication statusPublished - Jan 1 2010
Externally publishedYes

Fingerprint

Birational Maps
Periodic Points
Count
Infinity
Tend
Curve
Invariant
Estimate

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Periodic points for area-preserving birational maps of surfaces. / Iwasaki, Katsunori; Uehara, Takato.

In: Mathematische Zeitschrift, Vol. 266, No. 2, 01.01.2010, p. 289-318.

Research output: Contribution to journalArticle

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