arXiv:1009.2143 Abstract | arXiv Analytics

arXiv:1009.2143 [math.DS]Abstract References Reviews Resources

Rational Surface Automorphisms with Positive Entropy

Published 2010-09-11, updated 2013-10-29Version 2

The aim of this paper is to construct many examples of rational surface automorphisms with positive entropy by means of the concept of orbit data. We show that if an orbit data satisfies some mild conditions, then there exists an automorphism realizing the orbit data. Applying this result, we describe the set of entropy values of the rational surface automorphisms in terms of Weyl groups.

Comments: 45 pages, 6 figures

Categories: math.DS, math.AG

Keywords: rational surface automorphisms, positive entropy, orbit data satisfies, mild conditions, entropy values

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