Invariant elliptic curves as attractors in the projective plane

Details Invariant elliptic curves as attractors in the projective plane Invariant elliptic curves as attractors in the projective plane

2008-11-27

arxiv.org/abs/0811.4532v2

Mathematics

Dynamical Systems

Scientific paper

10.1007/s12220-009-9104-9

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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