Minimally critical endomorphisms of PN
Abstract
We study the dynamics of the map endomorphism of N-dimensional projective space defined by f(X)=AXd, where A is a matrix and d is at least 2. When d>N2+N+1, we show that the critical height of such a morphism is comparable to its height in moduli space, confirming a case of a natural generalization of a conjecture of Silverman.
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