Automorphisms of rational surfaces with positive entropy
Julie DesertiJulien Grivaux
14E0732H5037B40birational mapsautomorphismspositive entropy
A complex compact surface which carries a minimal automorphism of positive topological entropy has been proved by Cantat to be either a torus, a K$3$ surface, an Enriques surface or a rational surface. Automorphisms of rational surfaces are quite mysterious and have been recently the object of intensive studies. In this paper, we construct several new examples of automorphisms of rational surfaces with positive topological entropy. We also explain how to count parameters in families of rational surfaces.
Indiana University Mathematics Journal
2011
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10.1512/iumj.2011.60.4427
10.1512/iumj.2011.60.4427
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Indiana Univ. Math. J. 60 (2011) 1589 - 1622
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