Algebraic Entropy of Birational Maps with Invariant Curves

Details Algebraic Entropy of Birational Maps with Invariant Curves Algebraic Entropy of Birational Maps with Invariant Curves

1999-12-08

arxiv.org/abs/chao-dyn/9912012v1

Lett. Math. Phys. 50 (1999) 79-90

Physics

Mathematical Physics

11 pages, no figure

Scientific paper

The relevance of the algebraic entropy in the study of birational discrete
time dynamical systems highlights the need to relate it to other
characteristics of these systems. In this letter, two complementary proofs are
given that the foliation of the space by invariant curves implies that the
algebraic entropy is zero.

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