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arXiv:0811.4532 [math.DS]AbstractReferencesReviewsResources

Invariant elliptic curves as attractors in the projective plane

Johan Taflin

Published 2008-11-27, updated 2011-01-30Version 2

Let f be a rational self-map of P^2 which leaves invariant an elliptic curve C with strictly negative transverse Lyapunov exponent. We show that C is an attractor, i.e. it possesses a dense orbit and its basin is of strictly positive measure.

Categories: math.DS, math.CV
Subjects: 32H50, 37D50, 37B25
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