• Lie symmetries of birational maps preserving genus 0 fibrations 

      Llorens, Mireia; Mañosa Fernández, Víctor (2015-12-01)
      Article
      Accés obert
      We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the ...
    • Lie symmetries of birational maps preserving genus 0 fibrations 

      Llorens, Mireia; Mañosa Fernández, Víctor (2015-02-13)
      Report de recerca
      Accés obert
      We prove that any planar birational integrable map, which preserves a fibration given by genus $0$ curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic ...
    • Periodic orbits of planar integrable birational maps 

      Gálvez Carrillo, Maria Immaculada; Mañosa Fernández, Víctor (2014-02-14)
      Report de recerca
      Accés obert
      A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically ...