16 citations · 43 across the 17 of their papers we have counts for
4 papers · 1 filter
Cremona transformations, surface automorphisms and plane cubics
Jeffrey Diller
We give a method for constructing many examples of automorphisms with positive entropy on rational complex surfaces. The general idea is to begin with a quadratic Cremona transform…
Dynamics of meromorphic maps with small topological degree III: geometric currents and ergodic theory
Jeffrey Diller, Romain Dujardin, Vincent Guedj
We continue our study of the dynamics of mappings with small topological degree on (projective) complex surfaces. Previously, under mild hypotheses, we have constructed an ergodic…
Dynamics of meromorphic maps with small topological degree II: Energy and invariant measure
Jeffrey Diller, Romain Dujardin, Vincent Guedj
We continue our study of the dynamics of meromorphic mappings with small topological degree on a compact Kähler surface . Under general hypotheses we are able to construct a can…
Dynamics of meromorphic maps with small topological degree I: from cohomology to currents
Jeffrey Diller, Romain Dujardin, Vincent Guedj
We consider the dynamics of a meromorphic map on a compact kahler surface whose topological degree is smaller than its first dynamical degree. The latter quantity is the exponentia…