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Examples of automorphisms of positive entropy Alexandra Kuznetsovaab a National Research University "Higher School of Economics" (HSE), Moscow b International laboratory for Mirror Symmetry and Automorphic Forms, National Research University "Higher School of Economics" (HSE), Moscow |
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Abstract: Serge Catat proved that if complex projective surface admits an automorphism with positive entropy then this surface is either an abelian surface, a K3, an Enriques surface or a rational surface. I am going to tell about this theorem and give examples of automorphisms with positive entropy for all these surfaces. If time permits, I will also give some examples of threedimensional varieties with an automorphism of positive entropy. |
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