Algebraic Entropy of Birational Maps with Invariant Curves

M. P. Bellon

doi:10.1023/a:1007634406786

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arXiv · chao-dyn/9912012

Algebraic Entropy of Birational Maps with Invariant Curves

M. P. Bellon

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Abstract

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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M. P. Bellon. 1999-12-08. Algebraic Entropy of Birational Maps with Invariant Curves. https://doi.org/10.1023/a%3A1007634406786

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