Algebraic entropy for systems of quad equations

Abstract

In this work I discuss briefly the calculation of the algebraic entropy for systems of quad equations. In particular, I observe that since systems of multilinear equations can have algebraic solution, in some cases one might need to restrict the direction of evolution only to the pair of vertices yielding a birational evolution. Some examples from the exiting literature are presented and discussed within this framework.

arXiv comment24 pages (amsart style), 5 figures. This paper is dedicated to the memory of Prof. Decio Levi

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Cited by in corpus (1)

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