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math.NT2017
On variation of dynamical canonical heights, and Intersection numbers
Jorge Mello
We study families of varieties endowed with polarized canonical eigensystems of several maps, inducing canonical heights on the dominating variety as well as on the "good" fibers o…
math.DS2017
The Dynamical And Arithmetical Degrees For Eigensystems of Rational Self-maps
Jorge Mello
We define arithmetical and dynamical degrees for dynamical systems with several rational maps on projective varieties, study their properties and relations, and prove the existence…