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arXiv · 0811.4532

Invariant elliptic curves as attractors in the projective plane

Johan Taflin
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Abstract

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.

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Johan Taflin. 2008-11-27. Invariant elliptic curves as attractors in the projective plane. https://doi.org/10.1007/s12220-009-9104-9

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