Algebraic stability and degree growth of monomial maps and polynomial maps

Details Algebraic stability and degree growth of monomial maps and polynomial maps Algebraic stability and degree growth of monomial maps and polynomial maps

2010-07-01

arxiv.org/abs/1007.0253v2

Mathematics

Dynamical Systems

38 pages, 3 figures

Scientific paper

Given a rational monomial map, we consider the question of finding a toric
variety on which it is algebraically stable. We give conditions for when such
variety does or does not exist. We also obtain several precise estimates of the
degree sequences of monomial maps on $\P^n$. Finally, we characterize
polynomial maps which are algebraically stable on $(\P^1)^n$.

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