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math.DS2010
Degree growth of monomial maps and McMullen's polytope algebra
Charles Favre, Elizabeth Wulcan
We compute all dynamical degrees of monomial maps by interpreting them as mixed volumes of polytopes. By exploiting further the isomorphism between the polytope algebra of P. McMul…
math.DS2010★ 3 cited
Stabilization of monomial maps
Mattias Jonsson, Elizabeth Wulcan
A monomial (or equivariant) selfmap of a toric variety is called stable if its action on the Picard group commutes with iteration. Generalizing work of Favre to higher dimensions,…